AnswersCommon Core Algebra I B-ICFactoring Polynomials Completely

Factoring Polynomials Completely Answers

21 verified answers6 views
1
Free Preview

Which polynomials are prime? Check all that apply.

A
2x2+ 7x + 1
B
5x2 – 10x + 5
C
3x2 + 8
D
4x2 – 25
E
x2 + 36
80392
Free Preview

Consider the polynomial 6x2 – 8x + 2.

Answers:
Selection 1:2
Selection 2:2(3x – 1)(x – 1)
80393

x3✔ 1111x

A
x
B
3
C
11
D
11x
80394

2x4x6x✔ 8x

A
2x
B
4x
C
6x
D
8x
80416

(3x – 1)(x – 1)(3x + 1)(x + 1)✔ 2(3x – 1)(x – 1)2(3x + 1)(x + 1)

A
(3x – 1)(x – 1)
B
(3x + 1)(x + 1)
C
2(3x – 1)(x – 1)
D
2(3x + 1)(x + 1)
80418

Completely factor the polynomial 8x2 – 24x + 20x – 60.

A
8x(x + 3)(x – 5)
B
(4x – 3)(2x – 5)
C
2(2x – 3)(2x + 5)
D
4(x – 3)(2x + 5)
80419

Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x?

A
5(2x2 – 3)(3x + 4)
B
x(10x + 3)(3x – 4)
C
5x(2x – 3)(3x + 4)
D
5x(2x + 3)(3x – 4)
80422

Determine the GCF for each of the polynomials.

Answers:
The GCF is .:x
The GCF is .:11
The GCF is .:8x
80423

x3✔ 1111x

A
x
B
3
C
✔ 11
D
11x
80424

2x4x6x✔ 8x

A
2x
B
4x
C
6x
D
✔ 8x
80427

Consider the polynomial 6x2 – 8x + 2.

Answers:
Selection 1:2
Selection 2:2(3x – 1)(x – 1)
80428

(3x – 1)(x – 1)(3x + 1)(x + 1)✔ 2(3x – 1)(x – 1)2(3x + 1)(x + 1)

A
(3x – 1)(x – 1)
B
(3x + 1)(x + 1)
C
✔ 2(3x – 1)(x – 1)
D
2(3x + 1)(x + 1)
80429

Completely factor the polynomial 8x2 – 24x + 20x – 60.

A
8x(x + 3)(x – 5)
B
(4x – 3)(2x – 5)
C
2(2x – 3)(2x + 5)
D
4(x – 3)(2x + 5)
80430

Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x?

A
5(2x2 – 3)(3x + 4)
B
x(10x + 3)(3x – 4)
C
5x(2x – 3)(3x + 4)
D
5x(2x + 3)(3x – 4)

Did you find these answers helpful?