Finding Numbers When Factoring

COMPLETE THE EQUATION: X^2 + 36X + _____?

• 324

• 360

• 400

• 250

Solve the following quadratic equations by factoring. x² + 7x = 0

• x = 3, x = -4

• x = 0, x = -7

• x = 5, x = -2

• x = 1, x = -6

Solve the following quadratic equations by factoring. x² + 14x + 49= 0

• x = -7

• x = -14

• x = 0

• x = 7

WHAT IS FACTORING?

• Factoring is the process of finding the factors of a number or algebraic expression.

• Factoring is the process of finding the square root of a number.

• Factoring is the process of simplifying a fraction.

• Factoring is the process of multiplying two numbers together.

FIND THE VALUE OF X IN 2X²-18

• x = 5

• x = 10

• x = ±3

• x = -4

SOLVE FOR X: (x + 3)² = 25

• x = -8, 2

• x = 1, 4

• x = -10, 3

• x = 0, 5

Oliver, Olivia, and Owen are trying to split a large number of candies evenly among themselves. What would you call a number that allows them to do this without any candies left over?

• A number that evenly divides into the total number of candies

• A number not divisible by any other number

• A number divisible only by 1 and the total number of candies

• A prime number

Harper is trying to solve a math problem. She needs to factorize the expression 2x^2 + 7x + 3. Can you help her?

• (2x + 3)(x + 1)

• (2x + 1)(x + 3)

• (2x + 2)(x + 1)

• (2x - 1)(x - 3)

Zoey, Anaya, and Isabella are trying to solve a math problem. They need to factorize the expression 3x^2 - 10x + 8. Can you help them?

• (3x-2)(x-4)

• (3x-4)(x-2)

• (3x+4)(x-2)

• (3x+2)(x-4)

Samuel and Isabella are trying to split a set of marbles evenly between them. They want to find the greatest number of marbles each can have without any left over. How should they find this number?

• List all possible numbers of marbles each could have (factors) and find the largest number that works for both.

• Divide the total number of marbles by two.

• Add the number of marbles each currently has.

• Multiply the number of marbles each currently has.