Question: "How to factor 6x2+5x-6?"

Secondary
Algebra
Algebra II
Polynomial division

Miguel Hendrix

Answered question

2023-03-13

How to factor

6 x^{2} + 5 x - 6

Answer & Explanation

el4arbfeq

Beginner2023-03-14Added 5 answers

Find the factors:
For the equation

a x^{2} + b x + c

, first multiply a and b, then find two factors such that their sum or difference will be equal to b.

6 x^{2} + 5 x - 6

\Rightarrow 6 x^{2} + (9 - 4) x - 6 \Rightarrow 6 x^{2} + 9 x - 4 x - 6 \Rightarrow 3 x (2 x + 3) - 2 (2 x + 3) \Rightarrow (2 x + 3) (3 x - 2)

Therefore, factors of

6 x^{2} + 5 x - 6

are

(2 x + 3)

and

(3 x - 2)

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