Introduction to Polynomials Answers

0 verified answers1 views
1
Free Preview

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
2
Free Preview

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
3

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
4

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.
5

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.
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

Alina fully simplifies this polynomial and then writes it in standard form.xy2 – 2x2y + 3y3 – 6x2y + 4xy2

A
xy2
B
5xy2
C
–8x2y
D
–2x2y
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

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
10

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

Did you find these answers helpful?