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Question

The factors of the polynomial 4x 2+ 12x + 9 are


A

(x + 3) (x + 3)

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B

(2x - 3) ( 2x + 3)

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C

(2x - 3) ( 2x - 3)

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D

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

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Solution

The correct option is D

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


4x2 + 12x + 9

a = 4, b = 12, c=9

ac = 36 = 6 x 6

b = 12 = 6 + 6

4x2 + 6x + 6x + 9

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

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


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