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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Transformations of Quadratic Functions

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Exercise 58 Page 121

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

No.

Practice makes perfect

Consider the given trinomial.

x^2-8x+81 To determine if an expression is a perfect square trinomial, we need to ask ourselves three questions.

Is the first term a perfect square?	x^2=( x)^2 ✓
Is the last term a perfect square?	81= 9^2 ✓
Is the middle term twice the product of 9 and x?	8x ≠ 2* 9* x *

As we can see, not every answer is positive. Therefore, the given expression isn't a perfect square trinomial.

Subchapter links

Exercises p.119-121