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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

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Exercise 9 Page 91

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

Is the Trinomial a Perfect Square? No.

Practice makes perfect

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?	25= 5^2 ✓
Is the middle term twice the product of 3 and 2x?	5x≠=2* 5* x *

As we can see, the answer to the third question is no! Therefore, we cannot write the trinomial as the square of a binomial.