Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3801	Use the Rational Roots Test to Find All Possible Roots	x^4-625	$x^{4} - 625$
3802	Use the Rational Roots Test to Find All Possible Roots	tan(2x)	$\tan (2 x)$
3803	Use the Rational Roots Test to Find All Possible Roots	tan(x)	$\tan (x)$
3804	Find the Roots/Zeros Using the Rational Roots Test	x^3+4x^2-9x-36	$x^{3} + 4 x^{2} - 9 x - 36$
3805	Use the Rational Roots Test to Find All Possible Roots	f(x)=7x^3-5x^2-63x+45	$f (x) = 7 x^{3} - 5 x^{2} - 63 x + 45$
3806	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-5x^2-9x+45	$f (x) = x^{3} - 5 x^{2} - 9 x + 45$
3807	Find the Roots/Zeros Using the Rational Roots Test	x^4-6x^3+4x^2+15x+4	$x^{4} - 6 x^{3} + 4 x^{2} + 15 x + 4$
3808	Find the Roots/Zeros Using the Rational Roots Test	x^5+7x^4+2x^3+14x^2+x+7	$x^{5} + 7 x^{4} + 2 x^{3} + 14 x^{2} + x + 7$
3809	Find the Roots/Zeros Using the Rational Roots Test	x^4+4x^2	$x^{4} + 4 x^{2}$
3810	Find the Roots/Zeros Using the Rational Roots Test	x^4+x^3+14x^2+16x-32	$x^{4} + x^{3} + 14 x^{2} + 16 x - 32$
3811	Find the Roots/Zeros Using the Rational Roots Test	x^3-17x-4	$x^{3} - 17 x - 4$
3812	Find the Roots/Zeros Using the Rational Roots Test	x^3+3x^2-4x-12	$x^{3} + 3 x^{2} - 4 x - 12$
3813	Find the Roots/Zeros Using the Rational Roots Test	2x^4-x^3+49x^2-25x-25	$2 x^{4} - x^{3} + 49 x^{2} - 25 x - 25$
3814	Find the Roots/Zeros Using the Rational Roots Test	x^4-2x^2-16x-15	$x^{4} - 2 x^{2} - 16 x - 15$
3815	Find the Roots/Zeros Using the Rational Roots Test	x^4+32x^2+256	$x^{4} + 32 x^{2} + 256$
3816	Find the Roots/Zeros Using the Rational Roots Test	x^4+40x^2-441	$x^{4} + 40 x^{2} - 441$
3817	Find the Roots/Zeros Using the Rational Roots Test	x^4+64x^2	$x^{4} + 64 x^{2}$
3818	Find the Roots/Zeros Using the Rational Roots Test	x^4-4x^3-20x^2-9x+14	$x^{4} - 4 x^{3} - 20 x^{2} - 9 x + 14$
3819	Find the Roots/Zeros Using the Rational Roots Test	x^4-6x^3-3x^2+24x-4	$x^{4} - 6 x^{3} - 3 x^{2} + 24 x - 4$
3820	Find the Roots/Zeros Using the Rational Roots Test	x^5-x^4-x^3+x^2-12x+12	$x^{5} - x^{4} - x^{3} + x^{2} - 12 x + 12$
3821	Find the Roots/Zeros Using the Rational Roots Test	x^4+18x^2+81	$x^{4} + 18 x^{2} + 81$
3822	Find the Roots/Zeros Using the Rational Roots Test	x^3-7x^2+17x-15	$x^{3} - 7 x^{2} + 17 x - 15$
3823	Find the Roots/Zeros Using the Rational Roots Test	x^4-x^3-11x^2-x-12	$x^{4} - x^{3} - 11 x^{2} - x - 12$
3824	Find the Roots/Zeros Using the Rational Roots Test	x^3-3x^2-25x+75	$x^{3} - 3 x^{2} - 25 x + 75$
3825	Factor	4z^2-4z+1	$4 z^{2} - 4 z + 1$
3826	Factor	4x^4-5x^2+1	$4 x^{4} - 5 x^{2} + 1$
3827	Factor	4x^3-6x^2+12x	$4 x^{3} - 6 x^{2} + 12 x$
3828	Factor	4x^3-8x^2+12x	$4 x^{3} - 8 x^{2} + 12 x$
3829	Factor	4x^2-12x+5	$4 x^{2} - 12 x + 5$
3830	Factor	4k^2m^3+8k^4m^3-12k^2m^4	$4 k^{2} m^{3} + 8 k^{4} m^{3} - 12 k^{2} m^{4}$
3831	Factor	4x^2+3x-2	$4 x^{2} + 3 x - 2$
3832	Factor	3x^3+16x^2+28x+16	$3 x^{3} + 16 x^{2} + 28 x + 16$
3833	Factor	36y^4(y+12)^3+y^5(y+12)^4	$36 y^{4} {(y + 12)}^{3} + y^{5} {(y + 12)}^{4}$
3834	Factor	3x^3-2x^2-19x-6	$3 x^{3} - 2 x^{2} - 19 x - 6$
3835	Factor	3x^3-4x^2-12x+16	$3 x^{3} - 4 x^{2} - 12 x + 16$
3836	Factor	3x^4-10x^3-9x^2+40x-12	$3 x^{4} - 10 x^{3} - 9 x^{2} + 40 x - 12$
3837	Factor	6x^2-2	$6 x^{2} - 2$
3838	Factor	6x^3-22x^2+12x	$6 x^{3} - 22 x^{2} + 12 x$
3839	Factor	6x^3-6	$6 x^{3} - 6$
3840	Factor	6x^4-18x^3+12x^x	$6 x^{4} - 18 x^{3} + 12 x^{x}$
3841	Factor	6x^4-11x^3-51x^2+99x-27	$6 x^{4} - 11 x^{3} - 51 x^{2} + 99 x - 27$
3842	Factor	5x^3+10x^2-20x-40	$5 x^{3} + 10 x^{2} - 20 x - 40$
3843	Factor	5x^2+12x+7	$5 x^{2} + 12 x + 7$
3844	Factor	8x^3+y^6	$8 x^{3} + y^{6}$
3845	Factor	81y^2-4	$81 y^{2} - 4$
3846	Factor	625x^4-16	$625 x^{4} - 16$
3847	Factor	8t^3-1	$8 t^{3} - 1$
3848	Factor by Grouping	x^4-625	$x^{4} - 625$
3849	Factor by Grouping	x^5+4x^3+8x^2+32	$x^{5} + 4 x^{3} + 8 x^{2} + 32$
3850	Factor	cos(2x)cos(x)-sin(2x)sin(x)	$\cos (2 x) \cos (x) - \sin (2 x) \sin (x)$
3851	Factor	-9z^2+3z+2	$- 9 z^{2} + 3 z + 2$
3852	Factor	9y^4(y+6)^3+y^5(y+6)^4	$9 y^{4} {(y + 6)}^{3} + y^{5} {(y + 6)}^{4}$
3853	Factor	sin(x)	$\sin (x)$
3854	Factor	x+2x-8	$x + 2 x - 8$
3855	Factor	tan(x)	$\tan (x)$
3856	Evaluate Using the Given Value	f(x)tan(x)	$f (x) \tan (x)$
3857	Factor by Grouping	8x^5-6x^2+12x^3-9	$8 x^{5} - 6 x^{2} + 12 x^{3} - 9$
3858	Evaluate Using the Given Value	2x^4+3x^2y^2+y^4+y^2 , x^2+y^2=1	$2 x^{4} + 3 x^{2} y^{2} + y^{4} + y^{2}$ , $x^{2} + y^{2} = 1$
3859	Find the Roots (Zeros)	f(x)=x^4-x^3-12x^2	$f (x) = x^{4} - x^{3} - 12 x^{2}$
3860	Find the Roots (Zeros)	f(x)=tan(x)	$f (x) = \tan (x)$
3861	Find the Roots (Zeros)	h(t) = square root of 9-t^2	$h (t) = \sqrt{9 - t^{2}}$
3862	Find the Roots (Zeros)	f(x)=x^2-2x-15	$f (x) = x^{2} - 2 x - 15$
3863	Find the Roots (Zeros)	f(x)=cos(x)	$f (x) = \cos (x)$
3864	Find the Roots (Zeros)	f(x)=arcsin(x)	$f (x) = \arcsin (x)$
3865	Find the Roots (Zeros)	f(x)=(x+5)^2+8	$f (x) = {(x + 5)}^{2} + 8$
3866	Find the Domain and Range	r(x)=(4x-4)/(x+2)	$r (x) = \frac{4 x - 4}{x + 2}$
3867	Find the Roots (Zeros)	f(x)=x^3+7x^2-5x-35	$f (x) = x^{3} + 7 x^{2} - 5 x - 35$
3868	Find the Roots (Zeros)	f(x)=x^3-7x^2+25x-39	$f (x) = x^{3} - 7 x^{2} + 25 x - 39$
3869	Find the Roots (Zeros)	f(x)=x^3-5x^2+11x-15	$f (x) = x^{3} - 5 x^{2} + 11 x - 15$
3870	Find the Roots (Zeros)	f(x)=x^4-2x^3-6x^2-4x-16	$f (x) = x^{4} - 2 x^{3} - 6 x^{2} - 4 x - 16$
3871	Find the Roots (Zeros)	f(x)=x^4-25	$f (x) = x^{4} - 25$
3872	Find the Roots (Zeros)	f(x)=2x^4-x^3+49x^2-25x-25	$f (x) = 2 x^{4} - x^{3} + 49 x^{2} - 25 x - 25$
3873	Find the Roots (Zeros)	F(x)=4x^4+5x^3+29x^2+35x+7	$F (x) = 4 x^{4} + 5 x^{3} + 29 x^{2} + 35 x + 7$
3874	Find the x and y Intercepts	f(x)=x^3-5x^2-9x+45	$f (x) = x^{3} - 5 x^{2} - 9 x + 45$
3875	Find the Roots (Zeros)	f(x)=7x^3+3x^2-29x+11	$f (x) = 7 x^{3} + 3 x^{2} - 29 x + 11$
3876	Find the Domain and Range	f(x)=-11/(x^2-4)	$f (x) = - \frac{11}{x^{2} - 4}$
3877	Find the Domain and Range	f(x)=1/(4-2x)+3	$f (x) = \frac{1}{4 - 2 x} + 3$
3878	Find the Domain and Range	f(x)=2/(x-4)	$f (x) = \frac{2}{x - 4}$
3879	Find the Domain and Range	f(x)=(x^2-5x+4)/(x^2-4)	$f (x) = \frac{x^{2} - 5 x + 4}{x^{2} - 4}$
3880	Find the Domain and Range	Q(x)=(3x^2-5x-2)/(5x^2-9x-2)	$Q (x) = \frac{3 x^{2} - 5 x - 2}{5 x^{2} - 9 x - 2}$
3881	Find the Domain and Range	r(x)=(4x-8)/((x-4)(x+1))	$r (x) = \frac{4 x - 8}{(x - 4) (x + 1)}$
3882	Find the Domain and Range	g(x)=(15x^2)/(3x^2+1)	$g (x) = \frac{15 x^{2}}{3 x^{2} + 1}$
3883	Find the Domain and Range	g(x) = log base 6 of x	$g (x) = \log_{6} (x)$
3884	Find the Domain and Range	f(x)=x^3-4x^2-25x+100	$f (x) = x^{3} - 4 x^{2} - 25 x + 100$
3885	Find the Domain and Range	f(x)=x^3-7x^2+10x	$f (x) = x^{3} - 7 x^{2} + 10 x$
3886	Find the Domain and Range	f(x)=x^3+8x^2+15x	$f (x) = x^{3} + 8 x^{2} + 15 x$
3887	Find Amplitude, Period, and Phase Shift	y=-2tan(2x-pi/2)	$y = - 2 \tan (2 x - \frac{π}{2})$
3888	Find the Domain and Range	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
3889	Find the Domain and Range	f(x)=(3x^2+2x-5)/(2x^2-7x)	$f (x) = \frac{3 x^{2} + 2 x - 5}{2 x^{2} - 7 x}$
3890	Find the Domain and Range	f(x)=(3x)/(x+2)	$f (x) = \frac{3 x}{x + 2}$
3891	Find the Domain and Range	f(x)=(3x)/(x+3)	$f (x) = \frac{3 x}{x + 3}$
3892	Find the Domain and Range	f(x)=x^2+4x-1	$f (x) = x^{2} + 4 x - 1$
3893	Find the Domain and Range	f(x)=x^2(x-10)	$f (x) = x^{2} (x - 10)$
3894	Find the Domain and Range	p(x)=(x-3)^2(x+1)^2	$p (x) = {(x - 3)}^{2} {(x + 1)}^{2}$
3895	Find the Domain and Range	f(x)=6x^2+12x-7	$f (x) = 6 x^{2} + 12 x - 7$
3896	Find the Domain and Range	f(x)=3x^2-10x+2	$f (x) = 3 x^{2} - 10 x + 2$
3897	Find the Domain	x-1	$x - 1$
3898	Find the Domain	F(x) = natural log of x^2-9	$F (x) = \ln (x^{2} - 9)$
3899	Find the Domain	2x-3	$2 x - 3$
3900	Find the Domain	f(s)=( square root of s-1)/(s-4)	$f (s) = \frac{\sqrt{s - 1}}{s - 4}$