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