Completing the Square Quiz

What is the primary purpose of learning to complete the square in algebra?

• To simplify polynomial expressions

• To solve quadratic equations

• To graph linear equations

• To factorize prime numbers

What does a perfect square trinomial result from?

• A binomial squared

• A binomial raised to the third power

• A monomial doubled

• A trinomial squared

What is the first step in completing the square for a quadratic expression?

• Add the constant term to x

• Multiply the coefficient of x by 2

• Divide the coefficient of x by 2

• Square the constant term

In the expression x^2 + 6x, what do you add to complete the square?

• 9

• 36

• 12

• 6

What is the factored form of x^2 + 12x + 36?

• (x - 12)^2

• (x - 6)^2

• (x + 12)^2

• (x + 6)^2

For the expression y^2 + 14y, what is the correct completion to make it a perfect square trinomial?

• y + 49

• y + 7

• 7

• 49

What is the factored form of y^2 + 14y + 49?

• (y + 7)^2

• (y - 7)^2

• (y + 49)^2

• (y - 49)^2

If you have y^2 - 10y, what term completes the square?

• -5

• 25

• 5

• -25

What is the factored form of x^2 - 16x + 64?

• (x + 16)^2

• (x - 8)^2

• (x - 16)^2

• (x + 8)^2

What does the sign of the middle term in a quadratic expression influence in the factored form?

• The coefficient of x

• The sign in the binomial factor

• The sign of the constant term

• The exponent on x