MATHEMATICS HIGH SCHOOL

Which of the following options correctly factorizes the algebraic expression x^2 + 16x - 36? A) (x + 18)(x - 2) B) (x + 6)(x + 6) C) (x + 12)(x - 3) D) (x + 9)(x - 4)

Answers

Answer 1

Answer:

Answer:

A) (x + 18)(x -2)

Step-by-step explanation:

Factorizing the algebraic expression:

x² + 16x -36

Sum = 16

Product = -36

Factors: 18, (-2)

When we add the factors 18 + (-2), we get 16 and when we multiply the factors 18 * (-2), we get (-36).

Rewrite the middle term using the factors.

x² + 18x - 2x - 36

From the first two terms, take out the common term x and from the third and fourth terms, take out the common factor (-2).

x*(x + 18) - 2*(x + 18) = (x +18)(x - 2)

Answer: A) (x + 18)(x - 2)

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