What is the completely factored form of this polynomial? X^4-8x^2+16
O A. (x + 2)2(x - 2)2
O B. (x² - 4)2
OC. (x2 + 4)(x + 2)(x - 2)
OD.(x + 2)(x - 2)

a

step-by-step explanation:

a

step-by-step explanation:

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step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct