Factoring Quadratics with a Leading Coefficient of 1

What is the product of a and b in the expression x^2 + 10x + 9?

• 9

• 10

• 1

• 19

Which pair of numbers correctly factors the expression x^2 + 10x + 9?

• x + 4 and x + 6

• x + 2 and x + 5

• x + 1 and x + 9

• x + 3 and x + 3

For the expression x^2 + 15x + 50, what must a and b sum up to?

• 15

• 10

• 65

• 50

What is the correct factoring of x^2 - 11x + 24?

• x - 3 and x - 8

• x + 3 and x + 8

• x - 4 and x - 6

• x + 4 and x + 6

In the expression x^2 + 5x - 14, what is the product of a and b?

• -19

• 19

• 5

• -14

Which of the following pairs correctly factors the expression x^2 + 5x - 14?

• x + 5 and x - 14

• x - 5 and x + 14

• x + 2 and x - 7

• x - 2 and x + 7

For the expression x^2 - x - 56, which pair of numbers correctly factors it?

• x - 7 and x + 8

• x + 7 and x - 8

• x + 8 and x - 7

• x - 8 and x + 7

How do we factor an expression with a negative leading coefficient, like -x^2 - 5x + 24?

• By adding 1 to each term

• By multiplying each term by -1

• By dividing each term by -1

• By factoring out a -1

What is the correct factoring of the expression -x^2 + 18x - 72?

• -1(x - 6)(x - 12)

• -1(x + 9)(x + 8)

• -1(x + 6)(x + 12)

• -1(x - 9)(x - 8)

In the expression -x^2 + 18x - 72, what must the sum of a and b be?

• 72

• -18

• 18

• -72

Tags

CCSS.HSA-REI.B.4B