Introduction to Polynomials Answers

0 verified answers
1
Free Preview

Which algebraic expression is a polynomial?

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

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 algebraic expression is a polynomial?

A
3m2n – +
Option A
B
– + 4m5
Option B
C
– 3mn5 +
Option C
D
7mn + +
Option D
5

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
6

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
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 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 + 9x2y

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

Did you find these answers helpful?

Introduction to Polynomials Answers — VOA Math…