Question

Find the value of c that makes the expression a perfect square trinomial.

Then write the expression as a square of a binomial.

I dont really understand these instructions can someone solve a problem using these examples? Heres one of my problems: x^2+3.6x+c

Answer 1

c = 3.24

(x+1.8)²

Explanation:

The question wants you to fill in the last term.

To find the last term, you must use the formula (b/2)^2.

Let's use this formula for the equation you gave: x²+3.6x+c

c = (b/2)²

c = (3.6/2)²

c = 3.24

That is the value of c.

Let's plug in c in the last term for better understanding.

x²+3.6x+3.24 is now factorable.

• You can complete the square or use the quadratic formula to factor.

The factored form will turn out to be : (x+1.8)²