Which of the following is the correct factorization of 6x^{2} + x - 12?

SchachtN

SchachtN

Answered question

2021-05-25

Which of the following is the correct factorization of 6x2+x12?

Answer & Explanation

opsadnojD

opsadnojD

Skilled2021-05-26Added 95 answers

Step 1
Consider the given expression.
f(x)=6x2+x12
Multiplication of 6 and 12 is 72.
72=9×8
Split the middle term x as 9x8x.
We get
f(x)=6x2+9x8x12
=3x(2x+3)4(2x+3)
=(3x4)(2x+3)
Step 2
Hence, the factor of the function f(x)=6x2+x12 are (3x4) and (2x+3)

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