Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3401	Factor	2x^4-x^3-51x^2+25x+25	$2 x^{4} - x^{3} - 51 x^{2} + 25 x + 25$
3402	Factor	x^3-5x^2-17x+21	$x^{3} - 5 x^{2} - 17 x + 21$
3403	Factor	x^3-48x-128	$x^{3} - 48 x - 128$
3404	Factor	x^3-6x^2+10x-4	$x^{3} - 6 x^{2} + 10 x - 4$
3405	Factor	x^3-7x^2-41x-33	$x^{3} - 7 x^{2} - 41 x - 33$
3406	Factor	x^4(4)(2x+1)^3(2x)+(2x+1)^4(4x^3)	$x^{4} (4) {(2 x + 1)}^{3} (2 x) + {(2 x + 1)}^{4} (4 x^{3})$
3407	Factor	x^4+3x^3-3x^2-11x-6	$x^{4} + 3 x^{3} - 3 x^{2} - 11 x - 6$
3408	Factor	y^3-2y^2-y+2	$y^{3} - 2 y^{2} - y + 2$
3409	Factor	12x^3-34x^2+10x	$12 x^{3} - 34 x^{2} + 10 x$
3410	Factor	z^3-216	$z^{3} - 216$
3411	Factor	Z^3-64	$Z^{3} - 64$
3412	Factor	15x^3-22x^2+8x	$15 x^{3} - 22 x^{2} + 8 x$
3413	Factor	(x+h)^3-8	${(x + h)}^{3} - 8$
3414	Factor	9/4*(4/9x+2)-9/4	$\frac{9}{4} \cdot (\frac{4}{9} x + 2) - \frac{9}{4}$
3415	Factor	4/25y^2-64	$\frac{4}{25} y^{2} - 64$
3416	Factor	2/5x^(5/2)+2x^(3/2)+15x^(1/2)	$\frac{2}{5} x^{\frac{5}{2}} + 2 x^{\frac{3}{2}} + 15 x^{\frac{1}{2}}$
3417	Factor	a^3-b^12	$a^{3} - b^{12}$
3418	Factor	csc(x)^2-cot(x)-3	$\csc^{2} (x) - \cot (x) - 3$
3419	Factor	x^(-1/2)(x+2)^(1/2)+x^(1/2)(x+2)^(-1/2)	$x^{- \frac{1}{2}} {(x + 2)}^{\frac{1}{2}} + x^{\frac{1}{2}} {(x + 2)}^{- \frac{1}{2}}$
3420	Factor	sin(x)^2-cos(x)^2	$\sin^{2} (x) - \cos^{2} (x)$
3421	Factor	x^3+6x^2-37x-210	$x^{3} + 6 x^{2} - 37 x - 210$
3422	Factor	x^3+x^2-4x+4	$x^{3} + x^{2} - 4 x + 4$
3423	Factor	x^3-27x-54	$x^{3} - 27 x - 54$
3424	Factor	x^3+9x^2+24x+16	$x^{3} + 9 x^{2} + 24 x + 16$
3425	Factor	x^2(2x-3)-25(2x-3)	$x^{2} (2 x - 3) - 25 (2 x - 3)$
3426	Factor	x^2-12x+34	$x^{2} - 12 x + 34$
3427	Factor	x^2-10	$x^{2} - 10$
3428	Solve over the Interval	cos(x)=-( square root of 7)/3 , pi/2<x<pi , sin(2x)	$\cos (x) = - \frac{\sqrt{7}}{3}$ , $\frac{π}{2} < x < π$ , $\sin (2 x)$
3429	Solve over the Interval	cos(2x)=( square root of 2)/2 , [0,2pi]	$\cos (2 x) = \frac{\sqrt{2}}{2}$ , $[0, 2 π]$
3430	Write as a Function of x	natural log of x-5+ natural log of x+6=1	$\ln (x - 5) + \ln (x + 6) = 1$
3431	Write as a Function of x	sin(2x)-sin(x)=0	$\sin (2 x) - \sin (x) = 0$
3432	Write as a Function of x	cos(2x)=-( square root of 3)/2	$\cos (2 x) = - \frac{\sqrt{3}}{2}$
3433	Write as a Function of x	y = square root of 16-x^2	$y = \sqrt{16 - x^{2}}$
3434	Write as a Function of x	x^2-4y^2=1	$x^{2} - 4 y^{2} = 1$
3435	Write as a Function of x	2sin(x)^2=sin(x)	$2 \sin^{2} (x) = \sin (x)$
3436	Write as a Function of x	31x^2+10 square root of 3xy+21y^2-144=0	$31 x^{2} + 10 \sqrt{3} x y + 21 y^{2} - 144 = 0$
3437	Find the Discriminant	9s^2+24s+16=0	$9 s^{2} + 24 s + 16 = 0$
3438	Find the Discriminant	3x^2=6x-9	$3 x^{2} = 6 x - 9$
3439	Find the Discriminant	4x^2-2x+3=0	$4 x^{2} - 2 x + 3 = 0$
3440	Find the Discriminant	2x^2-x+7=0	$2 x^{2} - x + 7 = 0$
3441	Find the Discriminant	x^2+3x-6=0	$x^{2} + 3 x - 6 = 0$
3442	Find the Discriminant	x^2-32x+256=0	$x^{2} - 32 x + 256 = 0$
3443	Write as a Function of ?	r=2cos(x)	$r = 2 \cos (x)$
3444	Write as a Function of ?	x=(5pi)/4	$x = \frac{5 π}{4}$
3445	Write as a Function of n	an=8n-2
3446	Calculate the Square Root	square root of 10	$\sqrt{10}$
3447	Calculate the Square Root	square root of 50	$\sqrt{50}$
3448	Calculate the Square Root	square root of 527	$\sqrt{527}$
3449	Solve Using the Quadratic Formula	9x^2-12x+4=0	$9 x^{2} - 12 x + 4 = 0$
3450	Solve Using the Quadratic Formula	6y^2+12y=0	$6 y^{2} + 12 y = 0$
3451	Solve Using the Quadratic Formula	6x(x-1)=21-x	$6 x (x - 1) = 21 - x$
3452	Solve Using the Quadratic Formula	6x=2x^2+1	$6 x = 2 x^{2} + 1$
3453	Solve Using the Quadratic Formula	-49x^2+28x-4=0	$- 49 x^{2} + 28 x - 4 = 0$
3454	Solve Using the Quadratic Formula	5x^2-15x+10=0	$5 x^{2} - 15 x + 10 = 0$
3455	Solve Using the Quadratic Formula	4.5x^2-3x+12=0	$4.5 x^{2} - 3 x + 12 = 0$
3456	Solve Using the Quadratic Formula	4x^2+12x+3=0	$4 x^{2} + 12 x + 3 = 0$
3457	Solve Using the Quadratic Formula	4x^2-20x=0	$4 x^{2} - 20 x = 0$
3458	Solve Using the Quadratic Formula	4x^2-2x=7	$4 x^{2} - 2 x = 7$
3459	Solve Using the Quadratic Formula	4x^2=10x-9	$4 x^{2} = 10 x - 9$
3460	Solve Using the Quadratic Formula	3x^2+x+12=0	$3 x^{2} + x + 12 = 0$
3461	Solve Using the Quadratic Formula	3x^2-18x+27=0	$3 x^{2} - 18 x + 27 = 0$
3462	Solve Using the Quadratic Formula	26x^2+1=10x	$26 x^{2} + 1 = 10 x$
3463	Find the Asymptotes	f(x)=2/(x^2-2x-3)	$f (x) = \frac{2}{x^{2} - 2 x - 3}$
3464	Find the Asymptotes	f(x)=2/(x-3)	$f (x) = \frac{2}{x - 3}$
3465	Find the Asymptotes	f(x)=1/(x+1)	$f (x) = \frac{1}{x + 1}$
3466	Find the Asymptotes	f(x)=1/(x+4)	$f (x) = \frac{1}{x + 4}$
3467	Find the Asymptotes	f(x)=(2x^2)/(x^(2-1))	$f (x) = \frac{2 x^{2}}{x^{2 - 1}}$
3468	Find the Asymptotes	f(x)=(12x)/(3x^2+1)	$f (x) = \frac{12 x}{3 x^{2} + 1}$
3469	Find the Asymptotes	f(x)=(2x-4)/(x^2-4)	$f (x) = \frac{2 x - 4}{x^{2} - 4}$
3470	Find the Asymptotes	f(x)=(2x-1)/(x+1)	$f (x) = \frac{2 x - 1}{x + 1}$
3471	Find the Asymptotes	f(x)=(2x)/(x-1)	$f (x) = \frac{2 x}{x - 1}$
3472	Find the Asymptotes	f(x)=(2x+4)/(x-1)	$f (x) = \frac{2 x + 4}{x - 1}$
3473	Find the Asymptotes	f(x)=(2x)/(x^2-1)	$f (x) = \frac{2 x}{x^{2} - 1}$
3474	Find the Asymptotes	f(x)=(3x^2+x-4)/(2x^2-5x)	$f (x) = \frac{3 x^{2} + x - 4}{2 x^{2} - 5 x}$
3475	Find the Asymptotes	f(x)=(3x^2-12x)/(x^2-5x+4)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 5 x + 4}$
3476	Find the Asymptotes	f(x)=(3x^2-4x-3)/(2x^2-3x+2)	$f (x) = \frac{3 x^{2} - 4 x - 3}{2 x^{2} - 3 x + 2}$
3477	Find the Asymptotes	f(x)=(3x^2-2x-5)/(2x+7)	$f (x) = \frac{3 x^{2} - 2 x - 5}{2 x + 7}$
3478	Find the Asymptotes	f(x)=3^x+4	$f (x) = 3^{x} + 4$
3479	Find the Asymptotes	f(x)=3/(x-2)	$f (x) = \frac{3}{x - 2}$
3480	Find the Asymptotes	f(x)=3/(x-5)	$f (x) = \frac{3}{x - 5}$
3481	Find the Asymptotes	f(x)=(3x-3)/(-x+2)	$f (x) = \frac{3 x - 3}{- x + 2}$
3482	Find the Asymptotes	f(x)=(4x^2-16x)/(6x^2-96)	$f (x) = \frac{4 x^{2} - 16 x}{6 x^{2} - 96}$
3483	Find the Asymptotes	f(x)=1/(x^2-9)	$f (x) = \frac{1}{x^{2} - 9}$
3484	Find the Asymptotes	f(x)=(x^3-1)/(x^2-9)	$f (x) = \frac{x^{3} - 1}{x^{2} - 9}$
3485	Find the Asymptotes	f(x)=(x^3-1)/(x^2+3x-4)	$f (x) = \frac{x^{3} - 1}{x^{2} + 3 x - 4}$
3486	Find the Asymptotes	f(x)=(x^2-x-12)/(x^2+x-6)	$f (x) = \frac{x^{2} - x - 12}{x^{2} + x - 6}$
3487	Find the Asymptotes	f(x)=(x^2-4)/(x+2)	$f (x) = \frac{x^{2} - 4}{x + 2}$
3488	Find the Asymptotes	f(x)=(x^2-36)/x	$f (x) = \frac{x^{2} - 36}{x}$
3489	Find the Asymptotes	f(x)=(x^2-3x-4)/(x+2)	$f (x) = \frac{x^{2} - 3 x - 4}{x + 2}$
3490	Find the Asymptotes	f(x)=(x^2-4x+3)/(x^2-9)	$f (x) = \frac{x^{2} - 4 x + 3}{x^{2} - 9}$
3491	Find the Asymptotes	f(x)=(x^2-64)/(x-8)	$f (x) = \frac{x^{2} - 64}{x - 8}$
3492	Find the Asymptotes	f(x)=(x^2-x-2)/(x^3-2x^2-5x+6)	$f (x) = \frac{x^{2} - x - 2}{x^{3} - 2 x^{2} - 5 x + 6}$
3493	Find the Asymptotes	f(x)=(x^2-6x+8)/(x^2-x-12)	$f (x) = \frac{x^{2} - 6 x + 8}{x^{2} - x - 12}$
3494	Find the Asymptotes	f(x)=(x(x^2+1))/(2x^2-3x-2)	$f (x) = \frac{x (x^{2} + 1)}{2 x^{2} - 3 x - 2}$
3495	Find the Asymptotes	f(x)=(x^2+4x-3)/(x-6)	$f (x) = \frac{x^{2} + 4 x - 3}{x - 6}$
3496	Find the Asymptotes	f(x)=(x^2+3x+2)/(x-1)	$f (x) = \frac{x^{2} + 3 x + 2}{x - 1}$
3497	Find the Asymptotes	f(x)=(x^2+9x-9)/(x-9)	$f (x) = \frac{x^{2} + 9 x - 9}{x - 9}$
3498	Find the Asymptotes	f(x)=(x^2+x-12)/(x^2-x-6)	$f (x) = \frac{x^{2} + x - 12}{x^{2} - x - 6}$
3499	Find the Asymptotes	f(x)=(x^2+x-6)/(x^2-25)	$f (x) = \frac{x^{2} + x - 6}{x^{2} - 25}$
3500	Find the Asymptotes	f(x)=(x-4)/(-4x-16)	$f (x) = \frac{x - 4}{- 4 x - 16}$