Rewriting Polynomials Algebra

Rewriting Polynomials Algebra

11th Grade

16 Qs

quiz-placeholder

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Rewriting Polynomials Algebra

Rewriting Polynomials Algebra

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSN.CN.C.9, HSF-IF.C.7C, HSA.APR.C.4

Standards-aligned

Created by

Anthony Clark

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor the following completely:

(2p²+3)(p+2)

(2p²+6)(p+4)

(4p²+3)(p+2)

(4p²+8p)(3p+6)

Answer explanation

You have to factor this by grouping. The first group is your first two terms and its GCF would be 4p^2, leaving (p+2) inside the parentheses. The second group has a GCF of 3, leaving (p+2). Therefore one binomial is (p+2) and the other is composed of your two GCF's, (4p^2+3)

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Factor Completely:
 6x² + 5x - 6

Answer explanation

Start with multiplying a*c, which is 6*-6 in this case, which equals -36. So you need two factors that multiply to -36 and add to 5. It would be -4 and 9.

Rewrite your trinomial as

6x^2+9x-4x-6

You can then use the area model or factor by grouping to find your two binomials

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
x-16x + 48

(x - 12)(x - 4)

(x + 6)(x - 8)

(x + 12)(x - 4)

(x -16)(x - 3)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

-25x2+4x+20x3-5

(5x2-5)(4x+1)

5(x2-1)(4x+5)

(5x2+1)(4x-5)

(5x2+1)(4x-1)

Answer explanation

You need to factor by grouping, but first rearrange so your greatest degree (x^3) is written first

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Classify the following polynomial

cubic biniomial

quadratic polynomial

linear binomial

quadratic trinomial

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

6x2 - 11x - 10

(3x + 5) (2x - 2)

(2x + 5) (3x - 2)

(2x - 5) (3x + 2)

(3x - 5) (2x + 2)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor

c2 + c - 42

(c - 6)(c - 7)

(c + 7)(c + 6)

(c - 2)(c + 21)

(c + 7)(c - 6)

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