Completing the Square for Quadratics with a > 1

What is the main topic of this lesson?

• Solving linear equations

• Completing the square when a is greater than one

• Finding the roots of a polynomial

• Graphing quadratic functions

In the expression x^2 - 6x - 9, what are the values of a, b, and c?

• a = 1, b = -6, c = -9

• a = 1, b = 6, c = -9

• a = 2, b = -5, c = 8

• a = 1, b = -6, c = 9

For the expression 2x^2 - 5x + 8, what are the values of a, b, and c?

• a = 1, b = -5, c = -8

• a = 2, b = 5, c = 8

• a = 2, b = -5, c = 8

• a = 1, b = -5, c = 8

What is the first step in factoring a perfect square when a equals 1?

• Multiply the b term by 2

• Square the a term

• Take half the b term and square it

• Add the c term to both sides

If a equals 1, which formula is used to factor a perfect square?

• x + b/2 times x + b/2

• x - b/2 times x - b/2

• x + b times x + b

• x - b times x - b

In the equation 2x^2 + 8x + something = 5, what is the first step to make a equal to 1?

• Factor out a 2

• Divide by 2

• Add 8 to both sides

• Subtract 5 from both sides

When transforming the equation 2x^2 + 8x + something = 5, why do we add 8 instead of 4?

• Because 8 is the c term

• Because 2 times 4 is 8

• Because 8 is the b term

• Because 4 is incorrect

In the transformed equation 2(x + 3)^2 = 25, what is the value of b?

• 3

• 9

• 6

• 12

In the example where we add 9 to both sides, what is the value of c after completing the square?

• 18

• 4

• 9

• 12

What is the final transformed equation in the last example?

• x^2 + 4x + 4 = 0

• 3(x - 2)^2 = 21

• 2(x + 3)^2 = 25

• x^2 - 6x + 9 = 0