Question

Given b(x) in standard form, rewrite b(x) in factored form.

b(x)= 4x^ 2 – 9
A) (2x - 3)(2x + 3)
B) (4x - 9)
C) (2x^2 - 3^2)
D) (4x^2 - 9x)

Answer 1

To rewrite the quadratic function b(x) = 4x^2 - 9 in factored form, we need to factorize the quadratic expression using the difference of squares formula.

Step-by-step explanation:

To rewrite the quadratic function b(x) = 4x^2 - 9 in factored form, we need to factorize the quadratic expression. In this case, we have a difference of squares.

Using the formula for the difference of squares, we have: b(x) = (2x)^2 - 3^2.

Applying the difference of squares formula, we get: b(x) = (2x - 3)(2x + 3).

Therefore, the correct answer is (A) (2x - 3)(2x + 3).