Finite Math Examples

Divide Using Synthetic Division (8x^3-14x^2-19x-3)/(4x+3)
Step 1
Divide each term in the denominator by to make the coefficient of linear factor variable .
Step 2
Place the numbers representing the divisor and the dividend into a division-like configuration.
  
Step 3
The first number in the dividend is put into the first position of the result area (below the horizontal line).
  
Step 4
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
  
Step 5
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
  
Step 6
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
  
Step 7
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
  
Step 8
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
 
Step 9
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
 
Step 10
All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.
Step 11
Simplify the quotient polynomial.
Step 12
Simplify.
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Step 12.1
Distribute.
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Step 12.1.1
Apply the distributive property.
Step 12.1.2
Apply the distributive property.
Step 12.2
Cancel the common factor of .
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Step 12.2.1
Factor out of .
Step 12.2.2
Cancel the common factor.
Step 12.2.3
Rewrite the expression.
Step 12.3
Cancel the common factor of .
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Step 12.3.1
Factor out of .
Step 12.3.2
Cancel the common factor.
Step 12.3.3
Rewrite the expression.
Step 12.4
Cancel the common factor of .
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Step 12.4.1
Factor out of .
Step 12.4.2
Cancel the common factor.
Step 12.4.3
Rewrite the expression.