Introduction to Polynomials Answers

0 verified answers
1
Free Preview

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
2
Free Preview

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.
3

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.________ – 5xy3 + 9x2y05xy39x2y8y44xy3

A
0
B
5xy3
C
9x2y
D
8y4
E
4xy3
4

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
5

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
6

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
7

Which algebraic expression is a polynomial?

A
3m2n – +
Option A
B
– + 4m5
Option B
C
– 3mn5 +
Option C
D
7mn + +
Option D
8

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
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

Did you find these answers helpful?