Easter Algebra: Factoring Polynomials & Word Problems

A group of 12 Easter eggs is divided into baskets. If each basket contains the same number of eggs, and the total number of eggs can be expressed as the product of two factors, what are the possible combinations of eggs per basket?

• 10

• 1, 2, 3, 4, 6, 12

• 7

• 5

Lily has a polynomial expression for the number of chocolate bunnies she bought for Easter: x^2 + 5x + 6. If she wants to factor this expression to find the number of bunnies, what are the factors?

• (x + 3)(x + 5)

• (x + 4)(x + 2)

• (x + 2)(x + 3)

• (x + 1)(x + 6)

During an Easter egg hunt, the total number of eggs found can be represented by the equation x^2 - 9 = 0. How many eggs did the children find?

• 1

• 5

• 3

• 4

A basket contains a total of x^2 + 4x + 4 Easter eggs. If the basket can hold 16 eggs, how can you factor the polynomial to find the number of eggs in the basket?

• 12

• 20

• 8

• 16

Tom has 3 times as many chocolate eggs as he has jelly beans. If the total number of eggs is represented by the equation 3x + x = 48, how many jelly beans does he have?

• 15

• 20

• 10

• 12

The Easter Bunny delivers eggs in a pattern represented by the polynomial x^2 - 5x + 6. If the number of eggs delivered can be factored, what are the factors and how many eggs does he deliver?

• 4 eggs

• 6 eggs

• 10 eggs

• 8 eggs

A family has 20 Easter eggs to decorate. If they want to divide them into groups of x eggs, and the equation x^2 - 20 = 0 represents the situation, how many eggs will be in each group?

• 6

• 4

• 5

• 3

Samantha is making Easter baskets and has a polynomial expression for the total cost: 2x^2 + 8x. If she factors this expression, what does it reveal about the cost per basket?

• The cost per basket is 4x.

• The cost per basket is x^2 + 4x.

• The cost per basket is 8.

• The cost per basket is 2x.

At an Easter party, the number of children can be represented by the equation x^2 - 4x - 12 = 0. How many children attended the party?

• 6

• 4

• 8

• 10

A gardener plants Easter flowers in rows, and the total number of flowers can be expressed as x^2 + 6x + 9. If he wants to factor this expression, what does it tell him about the arrangement of flowers?

• The flowers can be grouped in pairs with a total of (x + 3) groups.

• The flowers must be arranged in a circular pattern with a radius of (x + 3).

• The flowers can only be planted in a straight line with x flowers.

• The flowers can be arranged in a square formation with each side having (x + 3) flowers.