Introduction to Polynomials Answers

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For the polynomial 6xy2−5x2y?+9x2 to be a trinomial with a degree of 3 after it has been fully simplified, what is the missing exponent of the y in the second term?

A
0
B
1
C
2
D
3
2
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Which algebraic expression is a polynomial with a degree of 5?

A
3x5 + 8x4y2 – 9x3y3 – 6y5
B
2xy4 + 4x2y3 – 6x3y2 – 7x4
C
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
D
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
3

Which algebraic expression is a trinomial?

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

Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified?

A
It has 2 terms and a degree of 4.
B
It has 2 terms and a degree of 5.
C
It has 1 term and a degree of 4.
D
It has 1 term and a degree of 5.
5

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
6

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
7

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
8

Which algebraic expression is a polynomial?

A
4x2 – 3x +
Option A
B
–6x3 + x2 –
Option B
C
8x2 +
Option C
D
–2x4 +
Option D
9

For the polynomial –2m2n3 + 2m?n3 + 7n2 – 6m4 to be a binomial with a degree of 4 after it has been fully simplified, which must be the missing exponent on the m in the second term?

A
0
B
1
C
2
D
4
10

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

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