# 1.A group of woodchucks chucks 2x^3+22x^2+60x logs of wood in total.

Given is the number of woodchucks in each row, choose which expression represents the number of logs each woodchuck chucked if they each chucked the same number of logs. Select Option A, Option B, both, or neither.

Option A Option B

x+6 woodchucks x+5 2x^2+10x

X+5 woodchucks 2x^2+12x 2x^2+15x

2x woodchucks x^2+11x+30 (x+6)(x+5)

2.Wacky Wolly's used car world is moving. They currently have 2x^4+14x^3+2x^2-126x-180 cars on their lot. They are arranged in a rectangular array with 2x^2+4x-30 rows. At the new and improved wacky wolly's, wolly can arrange the same amount of cars in x^2+8x+15 rows.

Determine how many cars in each row at the old lot. Write the answer in standard form

Determine how many cars in each row at the new lot. Write the answer in standard form.

3.The area of a square tile is three times its perimeter. Disregarding units, what is the side length of the square tile?

4.Factor 10m^3+50m^2-60m as completely as possible. answer in the format Am(m+B)(m+c) where A,B, and C are constants.

5.A polynomial can be factored by grouping it:

A)the terms can be grouped in such a way that each group has a GCF other than 1.

B) it has an even number of terms

C)the terms can be separated into groups with the same amount of terms.

D)terms can be group in such a way that groups can be factored and share a common factor other than 1.

E) it is cubic with four terms.

6. Decide if the given expression in each row is factorable by grouping or not. Select either factoring by grouping or not factorable by grouping

Factorable by grouping Not factorable by grouping

ab+ac-bd-cd

x^3-2x^2+3x-12

4xy+6-x-24y

a^2-b^2+2bc-c^2

7.Identify if each expression is an incomplete or incorrect factorization of 8x^5-26x^3-24x? If it is finished and correct factorization leave blank.

Incorrect factorization Incomplete factorization

2(4x^5-13x^3-12x)

2x(4x^4-13x^2-12)

4x(2x^4-7x^2-6)

4x(2x^2+3)(x^2-2)

2x(4x^2+3)(x^2-4)

2x(4x^2+3)(x-2)(x+2)

8.Given is the information about n in each row, determine if the given difference and sum would be factorable using polynomials with real coefficients. Select X^n-y^n, x^n+y^n, both, or neither.

X^n-y^n x^n+y^n

n=2 Always factorable Always factorable

n=3 Always factorable Always factorable

n= any positive even integer Always factorable Always factorable

n= any positive odd integer Always factorable Always factorable

9.Factor the polynomial.

x^3-8x^2-3x+24

if the factors are of the form (x^2+A)(x+B), answer the following questions.

What is A?

What is B?

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