Intro to Factoring

What two numbers have a product of -25 and a sum of 0?

• -5 and -5

• 6 and -6

• 5 and -5

• 25 and 1

What two numbers have a product of 21 and a sum of -10?

• -3 and 7

• -3 and -7

• 7 and -3

• 7 and 3

What two numbers have a product of -6 and a sum of -1?

• 2 and -3

• 1 and 6

• 3 and 2

• -6 and 1

What two numbers have a product of -24 and a sum of -2?

• 4 and -6

• 8 and -3

• -8 and 3

• -2 and 12

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

Mathematical Equivalence

ON

What two numbers have a product of 12 and a sum of -7?

• -3 and -4

• 2 and 5

• 3 and 4

• -5 and -2

Factor
k²+7k+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor out the GCF:
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)