More algebra 2 help please?

Question

Question 11 (Multiple Choice Worth 1 points)

Which of the following is a factor of x2 – 21x + 110?

x + 11

x – 10

x – 5

None of the above

Question 12 (Multiple Choice Worth 1 points)

Which is a factor of 2x2+ 8x – 90 ?

x + 2

x – 15

x + 9

x – 4

Question 13 (Multiple Choice Worth 1 points)

Identify the degree of the polynomial 6xy2 – xy + 8 + 12y.

3

4

5

6

Question 14 (Multiple Choice Worth 1 points)

Which is not a factor of 12x3 – 82x2 – 14x?

(3x – 2)

(6x + 1)

(x – 7)

2x

Question 15 (Multiple Choice Worth 1 points)

Which of the following is a factor of 48x2 – 26x + 3?

8x – 3

12x – 1

4x – 3

None of the above

Question 16 (Multiple Choice Worth 1 points)

Factor completely 81x2 – 36x + 4

(9x – 2)2

(2x – 9)2

(9x – 2)(9x + 2)

None of the above

Question 17 (Multiple Choice Worth 1 points)

Simplify 3x2(7x2 + 2x – 4)

21x2 + 6x – 12

21x2 + 6x3 – 12x

21x4 + 6x3 – 12x2

21 + 6x – 12x2

Question 18 (Multiple Choice Worth 1 points)

Which of the following is a factor of 64x3 + 343?

4x – 7

16x2 – 28x + 49

16x2 + 56x + 49

None of the above

Question 19 (Multiple Choice Worth 1 points)

Factor completely x2 – 12x + 35

(x + 5)(x – 7)

(x – 5)(x – 7)

(x – 5)(x + 7)

prime

Question 20 (Multiple Choice Worth 1 points)

Simplify (10x2 – 8x – 1) + (4x2 – 8x – 5)

14x2 – 16x + 6

14x2 + 16x + 6

14x2 – 16x – 6

14x2 + 16x – 6

Answer 1

11.

The factor of x² - 21x + 110

= x² - 10x - 11x + 110

= x(x - 10) - 11(x - 10)

=(x - 10)(x - 11)

x - 10 is a one factor

B is the right choice.

Answer 2

12.

The factor of 2x² + 8x  - 90

= 2(x² + 4x - 45)

=x² + 9x - 5x - 45)

= 2[x(x + 9) - 5(x + 9)]

Take out common factor  x + 9

= 2(x + 9)(x - 5)

x + 9 is a one factor

C is the right choice.

Answer 3

13.

6xy² - xy  + 8 + 2y

The degree of the polynomial is equal to highest degree of polynomial

The highest degree of polynomial term = 6x¹ y²

The highest degree = 1 + 2 = 3

A is the right choice.

Answer 4

14.

  12x³ - 82x² - 14x

= 2x(6x² - 41x - 7)

= 2x(6x² - 42x + x - 7)

= 2x(6x(x - 7) + 1(x - 7))

Take out common term x - 7

= 2x(x - 7)(6x + 1)

3x - 2 is  not a factor

A is the right choice.

 

Answer 5

15.

  48x² - 26x + 3

= 48x² - 18x - 8x + 3

= 6x(8x - 3) -1(8x - 3)

Take out common term 8x - 3

= (8x - 3)(6x - 1)

8x - 3 is  a factor

A is the right choice.

 

Answer 6

16.

81x² - 36x + 4

(9x)² - 2(9x)(2) + 2²

Recall : Alzebra formula (a - b)² = a² - 2ab + b²

Substitute a = 9x and b = 2 in the above formula

(9x - 2)².

Answer 7

16.

81x² - 36x + 4

(9x)² - 2(9x)(2) + 2²

Recall : Alzebra formula (a - b)² = a² - 2ab + b²

Substitute a = 9x and b = 2 in the above formula

(9x - 2)²

A is the right choice.

Answer 8

18.

     64x³ + 343

=  ( 4x)³ + (7)³

Recall : fomula a³ + b³ = (a + b)(a² - ab + b²)

Substitute a = 4x and b = 7 in the above formula

=  (4x + 7)((4x)² -(4x)(7) + 7²)

= (4x + 7)(16x² - 28x + 49)

16x² - 28x + 49 is a one factor

B is the right choice.

Answer 9

19.

   x² - 12x + 35

= x² - 7x - 5x + 35

= x(x - 7) -5( x -7)

Take out common term x - 7

(x - 7)(x - 5)

B is the right choice.

Answer 10

20.

   (10x^2 - 8x - 1) + (4x^2 - 8x - 5)

Ading same power terms in the above expression

= 14x^2 -16x - 6

C is the right choice.