Introduction to Polynomials Answers

7 verified answers
1
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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
2
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An algebra tile configuration. There are 3 large tiles, 5 tiles each half the size of a large tile, and 8 tiles each one-quarter the size of a large tile. Two of the large tiles are labeled plus x squared and 1 is labeled negative x square. Two smaller tiles are labeled plus x and 3 are labeled negative x. Six of the smallest tiles are labeled + and 2 are labeled minus.

Question illustration
A
x2 – x – 4
B
x2 – x + 4
C
3x2 – 5x + 8
D
3x2 – 5x – 8
4

Which represents the polynomial written in standard form?8x2y2 – 3x3y + 4x4 – 7xy3

A
4x4 – 3x3y + 8x2y2 – 7xy3
B
4x4 – 7xy3 – 3x3y + 8x2y2
C
4x4 + 8x2y2 – 3x3y – 7xy3
D
–7xy3 – 3x3y + 8x2y2 + 4x4
6

Which algebraic expression is a trinomial?

A
x3 + x2 –
Option A
B
2x3 – x2
C
4x3 + x2 –
Option C
D
x6 – x +
Option D
8

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
9

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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