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Perfect Square and Squared Factors

9.4.5 Perfect Square and Squared Factors

9.4.5 • Perfect Square and Squared Factors

Cool Down

1. Answer the following questions for expression 4x2−28x+c4x2−28x+c.

a. Find the value of cc to make the expression a perfect square.

49. Standard form: 4x2−28x+494x2−28x+49.

b. Write an equivalent expression in the form of squared factors.

Compare your answer:

Squared factors: (2x−7)2(2x−7)2.

2. Solve the equation 4x2−28x=−334x2−28x=−33 by completing the square. Show your reasoning.

Compare your answer:

4x2−28x=−334x2−28x+49=−33+49(2x−7)2=16(2x−7)2=162x−7=42x−7=−42x=112x=34x2−28x=−334x2−28x+49=−33+49(2x−7)2=16(2x−7)2=162x−7=42x−7=−42x=112x=3

x=112 and x=32x=112 and x=32