Question

Which of the following is equivalent to 2x2 + 9x + 9?

(x - 3)(2x - 3)
(x + 3)(2x + 3)
(x - 9)(2x - 1)
(x + 9)(2x + 1)

Answer 1

(x+3)(2x+3)

Explanation:

Factor:

2x^2+9x+9

=(2x+3)(x+3)

Answer 2

(x + 3)(2x + 3)

Explanation:

Sum = 9

Product = 2*9 = 18

Factors = 6 ,3

2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3

= 2x ( x + 3) + 3( x + 3)

= (x +3)(2x + 3)