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Use long division method to find the result when 8x^3+14x^+11x+2 is divided by 4x+1

User JacekK
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1 Answer

3 votes

step by step

ANSWER: (2x^2-5x+1) *(4x+3)

((*8 • (x3)) - (2•7x2)) - 11x) + 3

STEP

2

:

Equation at the end of step

2

:

((23x3 - (2•7x2)) - 11x) + 3

STEP

3

:

Checking for a perfect cube

3.1 8x3-14x2-11x+3 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 8x3-14x2-11x+3

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -11x+3

Group 2: 8x3-14x2

Pull out from each group separately :

Group 1: (-11x+3) • (1) = (11x-3) • (-1)

Group 2: (4x-7) • (2x2)

User Marczych
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