AnswersCommon Core Algebra I B-ICIntroduction to Polynomials

Introduction to Polynomials Answers

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Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?

A
It has 3 terms and a degree of 9.
B
It has 3 terms and a degree of 10.
C
It has 4 terms and a degree of 9.
D
It has 4 terms and a degree of 10.
2
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Which algebraic expression is a polynomial?

A
3m2n – +
Option A
B
– + 4m5
Option B
C
– 3mn5 +
Option C
D
7mn + +
Option D
3

Which term could be put in the blank to create a fully simplified polynomial written in standard form?8x3y2−_____+3xy2−4y3

A
x2y2
B
x3y3
C
7xy2
D
7x0y3
4

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3

A
n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6
B
–2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6
C
14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6
D
n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3
5

An algebra tile configuration where the 2 largest tiles are labeled plus x squared, there are 4 tiles labeled negative x, where each tile is half the size of the largest tiles, and 6 tiles labeled minus that are each one-quarter the size of the largest tile.

Question illustration
A
2x2 – 4x – 6
B
2x2 + 4x + 6
C
–2x2 – 4x – 6
D
–2x2 + 4x + 6
6

Which is true about the polynomial –8m3 + 11m?

A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
7

Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five options. + 8r2s4 – 3r3s3

Question illustration
A
StartFraction 5 s Superscript 7 Baseline Over 6 EndFraction
Option A
B
s5
C
3r4s5
D
–r4s6
E
–6rs5
F
StartFraction 4 r Over s Superscript 6 Baseline EndFraction
Option F
8

Which algebraic expression is a trinomial?

A
x3 + x2 –
Option A
B
2x3 – x2
C
4x3 + x2 –
Option C
D
x6 – x +
Option D
9

Julian fully simplifies this polynomial and then writes it in standard form.4x2y2 – 2y4 – 8xy3 + 9x3y + 6y4 – 2xy3 – 3x4 + x2y2

A
4y4
B
6y4
C
–2xy3
D
–10xy3
10

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4

A
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
B
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
C
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
D
3x4 + x3y – 8x2y2 + 9xy3 – 13y4

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