body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

9. Perfect Squares

Continue to next subchapter

Exercise 12 Page 68

To factor a perfect square trinomial, the first and last terms have to be perfect squares.

No

Practice makes perfect

To completely factor the given expression, we will first identify the greatest common factor.

Factor Out the GCF

The greatest common factor (GCF) of an expression is a common factor of the terms in the expression. It is the common factor with the greatest coefficient and the greatest exponent. The GCF of the given expression is 2.

4x^2-42x+110

SplitIntoFactors

Split into factors

2(2x^2)- 2(21x)+ 2(55)

Factor out 2

2(2x^2-21x+55)

Factor the Trinomial

To determine if an expression is a perfect square trinomial, we need to ask ourselves three questions.

Is the first term a perfect square?	2x^2=( sqrt(2)x)^2 *
Is the last term a perfect square?	55=( sqrt(55))^2 *
Is the middle term twice the product of sqrt(2)x and sqrt(55)?	21x≠ 2* sqrt(2)x* sqrt(55) *

As we can see, the answer to the three questions above is no. Therefore, the given expression is not a perfect square trinomial.

Subchapter links

Exercises p.68-71