# More algebra 2 help please?

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.