Pls help will give brainliest

see explanation

Step-by-step explanation:

(a)

Given

x² + 10x + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the x- term (+ 10)

The factors are + 2 and + 8, since

2 × 8 = 16 and 2 + 8 = 10, thus

x² + 10x + 16 = (x + 2)x + 8)

(b)

Given

x² + 7x + 12

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)

The factors are + 3 and + 4, since

3 × 4 = 12 and 3 + 4 = 7, thus

x² + 7x + 12 = (x + 3)(x + 4)

(c)

Given

x² + 13x + 12

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 13)

The factors are + 1 and + 12, since

1 × 12 = 12 and 1 + 12 = 13, thus

x² + 13x + 12 = (x + 1)(x + 12)

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