State the possible number of positive and negative zeros for the function g(x) = 3x³ – 11x² + 2x − 9 g(x) has 3 or 1 positive real zeros and 2 or 0 negative real zeros. g(x) has 3 positive real zeros and no negative real zeros. O g(x) has 3 or 1 positive real zeros and no negative real zeros. O g(x) has 1 positive real zero and 2 negative real zeros.

Q: Which polynomial function would have the end behavior of as x→ too, y 0? f(x) = 7x5 – 8x1 – 2x3 + x²…

A: The given polynomial functions are…

Q: Let f(x) = x³-212-9. If f(3) = 0, then (x-3) is a factor of f(x). O True O False

A: factor theorem states that if f(x) be a polynomial of degree n , and (x-a) is a factor of f(x) then…

Q: f (x) = x - 3x +1 and g(x 4x2 + x +5. Which one of the Let following expressions is equivalent to…

A: To find f(x)+g(x).

Q: The functions f and g defined by F(x) =-2÷[|3x-9|] G(x)=x^2 + 9 -[ square root( x+4)÷8]-4…

A: Given:   To determine: The domains of both functions

Q: Let f(x) = 5x³-10x2+x-2. If f(2)= 0, then (x-2) is a factor of f(x). K O True O False

A:

Q: One factor of f(x) = x³ – 12x² + 47x – 60 is (x – 5). What are the zeros of the function? O 5, -4,…

A:

Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

A:

Q: (b.) The function, f(x)= ax'-bx² +cx-12 , has a remainder 30 when divided by x - 3. If (x-2) and…

A: Given: fx=ax3-bx2+cx-12 which has a remainder 30 when divided by x-3 and,           x-2 and x+3 are…

Q: Show that the function g(x) = x³ – 7x² + 25x + 8 has exactly one real root- |

A: Given: gx=x3-7x2+25x+8 To show function gx has exactly one real root.

Q: Which polynomial function in standard form has a root of multiplicity 1 at x= 3, and a root of…

A: A polynomial function has a root of multiplicity 1 at x=3, and a root of multiplicity 2 at x=4

Q: Find the zeros of ƒ(x) = x3 + 6x2 + 8x

A:

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: What are the zeros of the function f(x) = 2 - 4sinx? Ox-+2rn and x- Ox-7+ O 5x 6 Ox-+2rn and x- 3…

A:

Q: 2. How many, and what type, of solutions exist for the function f(x) = x - 3x- 27x + 19x² +114x-72?

A: Given: f(x)=x5-3x4-27x3+19x2+114x-72

Q: n which interval does the polynomial function f ( x ) = x 3 − x 2 − 31 have a zero?

A:

Q: Find the value for the function. Find f(x + h) when f(x) = 3x 2 + 2x - 1. A 3x 2 + 3h 2+ 8x + 8h - 1…

A: Option (B) is correct.