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Is the algebraic expression a polynomial? If it is, write the polynomial in standard form

Question : Is the algebraic expression a polynomial? If it is, write the polynomial in standard form : 2151872

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Is the algebraic expression a polynomial? If it is, write the polynomial in standard form.

1) 5x-1 + 7 + 2x

A) Yes; 2x + 5x-1 + 7

B) No

2) 4x - 6 + 2x2

A) Yes; 2x2 + 4x - 6

B) No

3) (3x - 8/x)

A) No

B) Yes; (8/x) - 3

4) x2 + x4 - x3 - 6

A) No

B) Yes; x4 - x3 + x2 - 6

Find the degree of the polynomial.

5) -7x + 20x5 + 4

A) degree 5

B) degree 6

C) degree 20

D) degree -7

6) -3x + 2x7 + 5x6 - 24

A) degree 7

B) degree 4

C) degree 6

D) degree 2

7) -12x3 - 5x2 - 8x - 5x4 - 1

A) degree -12

B) degree 3

C) degree 2

D) degree 4

8) x5 - 12x3y6 + 9xy - 2x + 8

A) degree 16

B) degree -12

C) degree 5

D) degree 9

Perform the indicated operations. Write the resulting polynomial in standard form.

9) (4x7 + 8x5 - 4x) + (2x7 - 6x5 + 6x)

A) -2x7 - 2x5 + 14x

B) 6x + 2x7 + 2x5

C) 10x13

D) 6x7 + 2x5 + 2x

10) (2x8 + 9x7 - 5x6 - 7) + (4x8 + 7x7 - 5x6 + 9)

A) 12x42 + 2

B) 6x16 + 16x14 - 10x12 + 2

C) 6x8 + 16x7 - 10x6 + 2

D) 0x8 + 0x7 + 11x6 + 13

11) (-3x7 - 14x5 + 14) + (7x7 + 16x5 + 17)

A) 4x7 + 2x5 + 31

B) 4x7 + 19x5 + 3

C) 37x12

D) 4x7 + 2x5 + 3

12) (-4x5 - 6x4 + 6x3 - 8) + (8x5 + 9x4 - 9x3 - 3)

A) 4x5 + 15x4 - 15x3 + 5

B) 4x5 + 3x4 - 3x3 - 11

C) 12x5 + 15x4 - 15x3 + 5

D) 12x5 + 15x4 - 15x3 - 11

13) (4x5 + 18x3 + 3) - (7x5 - 19x3 + 2)

A) -3x5 + 25x3 + 5

B) 35x8

C) -3x5 + 37x3 + 5

D) -3x5 + 37x3 + 1

14) (7x7 - 3x6 - 2x5 - 3) - (9x7 - 5x6 - 7x5 + 2)

A) -2x7 + 2x6 + 5x5 - 5

B) -2x7 - 8x6 - 9x5 - 1

C) 16x7 - 8x6 - 9x5 - 5

D) 16x7 - 8x6 - 9x5 - 1

15) (5x5 - 13x2 + 13) - (3x5 - 4x2 - 6)

A) 2x5 - 10x2 + 7

B) 2x5 - 9x2 + 19

C) 2x5 - 9x2 + 7

D) 12x7

16) (6x2 + 4x + 7) + (2x2 + 9x - 2) - (5x + 2)

A) 6x2 + 8x + 3

B) 8x2 + 8x + 3

C) 8x2 + 8x + 7

D) 6x2 + 8x + 7

Find the product.

17) (x - 3)(x2 + 3x + 9)

A) x3 + 6x2 + 6x - 27

B) x3 + 27

C) x3 - 6x2 - 6x - 27

D) x3 - 27

18) (x - 11)(x2 + 3x - 8)

A) x3 + 14x2 + 25x - 88

B) x3 - 8x2 - 25x - 88

C) x3 + 14x2 + 41x + 88

D) x3 - 8x2 - 41x + 88

19) (x + 7)(x2 + 3x - 4)

A) x3 + 10x2 + 25x + 28

B) x3 + 10x2 + 25x - 28

C) x3 + 10x2 + 17x - 28

D) x4 + 7x3 + 3x2 + 17x - 28

20) (x + 4)(2x2 + 5x + 8)

A) 2x3 + 8x2 + 20x + 32

B) 40x4 + 2x3 + 160x2 + 32

C) 10x3 + 25x2 + 40x

D) 2x3 + 13x2 + 28x + 32

21) (4x - 1)(x2 - 2x + 1)

A) 4x3 - 8x2 + 4x + 1

B) 4x3 - 7x2 + 2x - 1

C) 4x3 - 9x2 + 6x - 1

D) 4x3 + 9x2 - 6x + 1

Solution
5 (1 Ratings )

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