Question

Can u help please with this practice

Answer 1

Polynomial Factoring

We are given the polynomial

`P=d^2+12d+36`

To factor the polynomial, we need to recall the identity:

`\mleft(a+b\mright)^2=a^2+2ab+b^2`

The trinomial (right side of the equation) consists in:

* the square of a variable

* twice the product of both variables

* the square of the other variable

The given expression has the corresponding terms:

* d^2 is the perfect square of d

* 36 is a perfect square, the square of 6

* 12d is twice 6d. Note the terms 6 and d are exactly the perfect squares, thus we can write:

`P=d^2+12d+36=(d+6)^2`

The third choice is correct