# Expert Answers

Question 1

Complete the square for the expression. Also, identify the resulting expression as a binomial squared.

x2 − 6x + ____

x2 − 6x + (−9) = (x − 3)2

x2 − 6x + (−36) = (x − 6)2

x2 − 6x + 36 = (x + 6)2

x2 − 6x + 9 = (x − 3)2

Question 2

Solve the equation.

x2 − 6x + 10 = 12

Question 3

Solve the equation.

x2 − 6x + 10 = 12

Question 4

Solve the equation.

x2 + 6x = 12

Question 5

Which of the following represents the function f(x) = x2 − 14x − 1 in vertex form? Identify the vertex.

f(x) = (x + 7)2 + 48; (−7, 48)

f(x) = (x − 7)2 − 50; (7, −50)

f(x) = (x − 7)2 − 48; (7, −48)

f(x) = (x + 7)2 + 50; (−7, 50)

Complete the square for the expression. Also, identify the resulting expression as a binomial squared.

x2 − 6x + ____

x2 − 6x + (−9) = (x − 3)2

x2 − 6x + (−36) = (x − 6)2

x2 − 6x + 36 = (x + 6)2

x2 − 6x + 9 = (x − 3)2

Question 2

Solve the equation.

x2 − 6x + 10 = 12

Question 3

Solve the equation.

x2 − 6x + 10 = 12

Question 4

Solve the equation.

x2 + 6x = 12

Question 5

Which of the following represents the function f(x) = x2 − 14x − 1 in vertex form? Identify the vertex.

f(x) = (x + 7)2 + 48; (−7, 48)

f(x) = (x − 7)2 − 50; (7, −50)

f(x) = (x − 7)2 − 48; (7, −48)

f(x) = (x + 7)2 + 50; (−7, 50)

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