Unit Test — Unit test

Question 1

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

Revolt · Accepted Answer

Omar should factor out a negative from one of the groups so the binomials will be the same.

Question 2

What is the factored form of the polynomial?x2 − 15x + 36

Revolt · Accepted Answer

(x − 3)(x − 12)

Question 3

What is the factorization of g3 – 125?

Revolt · Accepted Answer

(g – 5)(g2 + 5g + 25)

Question 4

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

Revolt · Accepted Answer

g = 7 and h = 3

Question 5

Four students are verifying thatx2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table.Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)?

Revolt · Accepted Answer

Latisha

Question 6

Which polynomial is prime?

Revolt · Accepted Answer

x2 + x + 1

Question 7

The diagram represents the area of a rectangle as 9x2 + 24x + 16 square units.

Revolt · Accepted Answer

both: 3x + 4 units

Question 8

Which diagram represents the factors of m2 – 10m + 16 ?

Revolt · Accepted Answer

A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.

Question 9

Armando used algebra tiles to represent the product .

Revolt · Accepted Answer

Some of the products do not show the correct powers of x.

Question 10

What is the factored form of the polynomial?z2 − 10z + 25

Revolt · Accepted Answer

(z − 5)(z − 5)

Unit Test — Unit test Answers

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