Algebra and Trigonometry, 5th Edition

Mid-Chapter Mixed Review

Determine whether the statement is true or false.

1. The y-intercept of the graph of the function $P(x)=5-2x^3$ is (5, 0). [4.2]

2. The degree of the polynomial $x-\frac{1}{2}{x}^4-3x^6+x^5$ is 6. [4.1]

3. If $f(x)=(x+7)(x-8)$, then $f(8)=0$. [4.3]

4. If $f(12)=0$, then $x+12$ is a factor of $f(x)$. [4.3]

Find the zeros of the polynomial function and state the multiplicity of each. [4.1]

5. $f(x)={(x^2-10x+25)}^3$

6. $h(x)=2x^3+x^2-50x-25$

7. $g(x)=x^4-3x^2+2$

8. $f(x)=-6{(x-3)}^2(x+4)$

In Exercises 9–12, match the function with one of the graphs (a)–(d) that follow. [4.2]

1. 

9. $f(x)=x^4-x^3-6x^2$

10. $f(x)=-{(x-1)}^3{(x+2)}^2$

11. $f(x)=6x^3+8x^2-6x-8$

12. $f(x)=-{(x-1)}^3(x+1)$

Using the intermediate ...