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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Complex Numbers

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Exercise 89 Page 184

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

No.

Practice makes perfect

Let's consider the given trinomial.

x^2-14x-49 ⇔ x^2-14x+(-49) To determine if an expression is a perfect square trinomial, we need to ask ourselves two questions.

Is the first term a perfect square?	x^2=( x)^2 ✓
Is the last term a perfect square?	sqrt(- 49)= 7i *

Positive square root of -49 is an imaginary number, so it is not a perfect square. Therefore, this is not a perfect trinomial.

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Exercises p.182-184