Answer:

1)Describe the steps in factoring a perfect square trinomial.

Example 1: Factor x²+2x+1

Step : the answer ts a square of a binomial with a Plus signs in between terms. (+)²

Step 2: the first term of the binomial is the square root a the Firs expressions

Ster 3: the last term of the binomia js the square root OF the lost term Of the

given explessions √1=1

thus, x²+2x+1= (x+1)²

2)How will you know that the expression is a perfect square trinomial?

-An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)

3)What will you do if the expression is not a perfect square trinomial?

-multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x² - 12x + 36, both x² and 36 are perfect squares.

4)State the relationships of the 2nd term of the expression to the 1st and last term

-The product of the 1st and last terms is equal to the 2nd term of the perfect square trinomial.

5)Define perfect square trinomial.

-Perfect Square Trinomial is a trinomial whose first and third terms are perfect squares that when square root gives a whole number.

Perfect Square Trinomials is the product of the Square of a Binomial

Example:

x² + 2x + 1 (x + 1)² or(x + 1)(x + 1) = 9x² + 12x + 4 = (3x + 2)²

HOPE IT HELPS!!