Question

If someone answers these for me, I will give you a medal so please,

Question 1 (Multiple Choice Worth 1 points)

What is the quotient: (2x2 + 12x + 18) ÷ (x + 3) ?

2x + 6

2x – 6

2x + 4

2x – 4, r = 1

Question 2 (Multiple Choice Worth 1 points)

If f(x) = 3x – 1 and g(x) = x2 – 2x – 2, what is f(g(x)) ?

x2 – 5x + 2

x2 + x – 3

3x2 – 6x – 7

3x2 – 5x – 3

Answer 1

Question 3 (Multiple Choice Worth 1 points)

What are the possible number of positive, negative, and complex zeros of f(x) = –x6 + x5– x4 + 4x3 – 12x2 + 12 ?

Positive: 4, 2, or 0; Negative: 2 or 0; Complex: 6, 4, 2, or 0

Positive: 3 or 1; Negative: 3 or 1; Complex: 4, 2, or 0

Positive: 5, 3, or 1; Negative: 1; Complex: 4, 2, or 0

Positive: 2 or 0; Negative: 2 or 0; Complex: 6, 4, or 2

Question 4 (Multiple Choice Worth 1 points)

What are the possible number of positive, negative, and complex zeros of f(x) = –3x4 – 5x3 – x2 – 8x + 4 ?

Positive: 2 or 0; Negative: 2 or 0; Complex: 4 or 2 or 0

Positive: 1; Negative: 3 or 1; Complex: 2 or 0

Positive: 3 or 1; Negative: 1; Complex: 2 or 0

Positive: 4 or 2 or 0; Negative: 2 or 0; Complex: 4 or 2 or 0

Question 5 (Multiple Choice Worth 1 points)

According to The Fundamental Theorem of Algebra, how many zeros does the function f(x) = 17x15 + 41x12 + 13x3 – 10 have ?

15

12

30

3

Question 6 (Multiple Choice Worth 1 points)

What is the quotient: (91y3 + 21y2 – 35y) ÷ 7y ?

13y2 – 3y – 3

13y2 – 3y + 5

13y3 + 3y2 – 5y

13y2 + 3y – 5

Question 7 (Multiple Choice Worth 1 points)

What is the remainder when (3x4 + 2x3 – x2 + 2x – 14) ÷ (x + 2) ?

0

5

10

15

Question 8 (Multiple Choice Worth 1 points)

Which of the following is a polynomial with roots –2, –2i, and 2i ?

x3 – 4x2 + 4x – 16

x3 + 4x2 + 4x + 16

x3 + 2x2 + 4x + 8

x3 – 2x2 + 4x – 8

Question 9 (Multiple Choice Worth 1 points)

What are the possible rational zeros of f(x) = x4 + 2x3 – 3x2 – 4x + 18 ?

± 1, ± 2, ± 3, ± 4, ± 5, ± 6, ± 7, ± 8, ± 9, ± 10, ± 11, ± 12, ± 13, ± 14, ± 15, ± 16, ± 17, ±18

± 1, ± 2, ± 3, ± 6, ± 9, ± 18

1, 2, 3, 6, 9, 18

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Question 10 (Multiple Choice Worth 1 points)

Which of the following is a polynomial with roots – square root of 5, square root of 5, and 3 ?

x3 – 2x2 – 3x + 6

x3 + 2x2 – 3x – 6

x3 – 3x2 – 5x + 15

x3 + 3x2 – 5x – 15

Question 11 (Multiple Choice Worth 1 points)

If f(x) = 5x2 – 2x + 4 and g(x) = 3x – 6, what is f(x) • g(x) ?

15x3 + 24x2 – 18x – 24

15x3 + 36x2 + 18x + 24

15x3 – 24x2 – 24x + 24

15x3 – 36x2 + 24x – 24

Question 12 (Multiple Choice Worth 1 points)

What is the quotient: (6x4 – 15x3 + 10x2 – 10x + 4) ÷ (3x2 + 2) ?

2x2 – 5x + 2

2x2 + 5x – 2

2x2 – 5x – 2

2x2 + 5x + 2

Question 13 (Multiple Choice Worth 1 points)

Approximate the real number solution(s) to the polynomial function f(x) = x3 – 4x2 + x + 6 .

x = –3, x = –1, x = 2

x = 3, x = 1, x = –2

x = 3, x = –1, x = 2

x = –3, x = 1, x = –2

Question 14 (Multiple Choice Worth 1 points)

Which of the following represent the zeros of f(x) = 6x3 + 25x2 – 24x + 5 ?

–5, one–third, one–half

5, –one–third, one–half

5, one–third, – one–half

5, one–third, one–half

Question 15 (Multiple Choice Worth 1 points)

What are the zeros of the polynomial function: f(x) = (x + 4)(2x + 1)(x – 7)?

4, one–half, –7

–4, –one–half, 7

4, –one–half, –7

–4, one–half, 7

Question 16 (Multiple Choice Worth 1 points)

If f(x) = x minus 3, all over 3, then what is f–1(x) ?

one–thirdx – 1

3x – 1

3x – 3

3x + 3

Question 17 (Multiple Choice Worth 1 points)

Using synthetic division, what is the quotient: (2x3 – 2x – 12) ÷ (x – 2) ?

2x2 + 4x + 6

2x2 – 4x + 6

2x2 + 4x – 6

2x2 + 4x – 6 + 1 over the quantity of x minus 2

Answer 2

you could use synthetic division for the first one

Answer 3

Question 19 (Multiple Choice Worth 1 points)

What is the third–degree polynomial function such that f(0) = –12 and whose zeros are 1, 2, and 3?

f(x) = 4x3 – 24x2 + 22x – 24

f(x) = 2x3 – 12x2 + 22x – 12

f(x) = 4x3 + 24x2 – 44x – 24

f(x) = 2x3 + 12x2 – 22x – 12

Question 20 (Multiple Choice Worth 1 points)

What are the zeros of the polynomial function: f(x) = x3 – 10x2 + 24x ?

–6, 0, 4

6, 0, –4

–6, 0, –4

6, 0, 4

Answer 4

2x + 6 (1st one)

Answer 5

Don't just give out answers..

Answer 6

2nd one.. just plug in the g(x) function into the f(x) function \[f(g(x)) = 3(x^2-2x-2)-1\]

Answer 7

its a composite function

Answer 8

holy crap ... please 1 question at a time
dont just copy and paste your entire assignment, its not like you are paying for a service :P
and medals do not have any value actually

Answer 9

u know right.. i thought it was just 2 questions.. Now i just give up

Answer 10

Ha, thank you @dumbcow I was thinking the same thing

Answer 11

like bribing us with medals is what drives us to help people...haha