# Work some math problems and show all work

**Question description**

1.
Describe the right-hand and the left-hand
behavior of the graph of n(x)=-5x^{4 }+ 10x^{3 }-7

2. what
the correct description of right-hand and left-hand behavior of the graph of
the polynomial function. f(x) 1/5x^{3 }+
5x

3. Describe
the right-hand and the left-hand behavior of the graph of t(x) = 4x^{5 }-7x^{3 }-
13

4. Select
the graph of the function and determine the zeros of the polynomial. f(x) = x^{2 }(x-6)

5. Sketch
the graph of the function by finding the zeros of the polynomial, f(x)= 2x^{2 }– 10x^{2
}+ 12x

6. Select from the following which is the polynomial function that has the given zeros. 2, -6

7. Select from the following which is the polynomial function that has the given zeros. 0,-2, -4

8. Use
synthetic division to divide. 20x^{3 }+ 101x^{2 }+ 79x-20/ 5x-1

9. Use the
Remainder Theorem and synthetic division to find the function value. Verify
your answer using another method. f(x)=5x^{6 }+ 3x^{4 }-9x^{2 }+6, f(-1)

10.Use the Remainder Theorem and synthetic
division to find the function value. Verify your answer using another method.
f(x)=4x^{3 }-3x+7, f(3)

11. Use the Remainder Theorem and synthetic
division to find the function value. Verify your answer using another method.
h(x)=x^{3 }-4x^{2 }-9x+ 7,
h(4)

12. Use the Remainder Theorem and synthetic
division to find the function value. Verify your answer using another method.
h(x)=x^{3 }-5x^{2 }-5x +4, h(-7)

13. If
f(x) = -3x^{3 }- 4x + 1, use snthetic division to evaluate f(4).

14. Use the
Remainder Theorem and synthetic division to find the function value. Verify
your answers using another method. h(x)=x^{3 }-6x^{2 }-5x + 7, h(-8)

15. Find all the zeros of the function. x (x-3)^{ 2}

16. Find all the rational zeros of the
function. x^{3 }– 10x^{2 }+ 23x -14

17. Find all the rational zeros of the function. X^{3
}– 12x^{2 }+
41x-42

18. The profit *P *(in
hundreds of dollars) that a company makes depends on the amount *X* (in
hundreds of dollars) the company spends on advertising according to the model. P=230 +40x- 0.5^{3}

19. The
height h(x), of a punted rugby ball is given by h(x) 1/64 x^{2 }+ 13/32x +2 where*x*is the horizontal distance in feet
from the point where the ball is punted. How far, horizontally, is the ball
from the kicker when it is at its highest point?

20. The total revenue *R* earned
per day (in dollars) from a pet-sitting service is given by R(p) = -12p^{2 }+ 150p where, (p) is
the price charged per pet (in dollars).

Find the revenue when the price per pet is $4.

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