Free Printable PC - Polynomials and Zeros Quiz

1.

Determine the degree and leading coefficient of the function.

a)

Odd, Positive

b)

Odd, Negative

c)

Even, Positive

d)

Even, Negative

2.

Determine the degree and leading coefficient of the function.

a)

Odd, Positive

b)

Odd, Negative

c)

Even, Positive

d)

Even, Negative

3.

Determine the domain and range of the function.

f\left(x\right)=-x^3+4x^2-7

a)

Domain: all real #s, Range: all real #s

b)

Domain: all real #s, Range: $y\ge-7$

c)

Domain: all real #s, Range: $y\ge0$

d)

Domain: all real #s, Range: $y\ \ge2.67$

4.

Choose all of the correct relative maximum(s) and minimum(s) for the function.

f\left(x\right)=-x^3+4x^2-7

a)

Maximum: (2.67, 2.48)

b)

Maximum: (0, -7)

c)

Maximum: (-2, 3.8)

d)

Minimum: (0, -7)

e)

Minimum: (-3, -8)

5.

Determine the intervals of increase and decrease for the function.

f\left(x\right)=-x^3+4x^2-7

a)

Inc: $\left(0,2.67\right)$ Dec: $\left(-\infty,\infty\right)$

b)

Inc: $\left(-\infty,2.67\right)\left(0,\infty\right)$ Dec: $\left(2.67,0\right)$

c)

Inc: $\left(-\infty,0\right)\left(2.67,\infty\right)$ Dec: $\left(0,2.67\right)$

d)

Inc: $\left(0,2.67\right)$ Dec: $\left(-\infty,0\right)\left(2.67,\infty\right)$

6.

Determine the zeros of the function.

f\left(x\right)=x^3-9x^2+14x

a)

$x=\left\{0,\ 7,\ 2\right\}$

b)

$x=\left\{7,\ 2\ mult.\ 2\right\}$

c)

$x=\left\{0,\ -7,\ -2\right\}$

d)

$x=\left\{0\ mult.\ 2,\ 7,\ 2\right\}$

7.

Determine the zeros of the function.

f\left(x\right)=x^3+2x^2-25x-50

a)

$x=\left\{2,\ 5\right\}$

b)

$x=\left\{2,\ \pm5\right\}$

c)

$x=\left\{-2,\ \pm5\right\}$

d)

$x=\left\{\pm2,\ \pm5\right\}$

8.

Determine the zeros of the function.

f\left(x\right)=-27x^4+12x^2

a)

$x=\left\{\pm\frac{2}{3},\ 0\ mult.\ 2\right\}$

b)

$x=\left\{\pm\frac{3}{2},\ 0\ \right\}$

c)

$x=\left\{\frac{2}{3},\ 0\ mult.\ 2\right\}$

d)

$x=\left\{\frac{3}{2},\ 0\ \right\}$

9.

$f\left(x\right)=\left(2x+5\right)^5\left(x+4\right)^2\left(x-1\right)$

Check off all statements about the function that are true.

a)

Zero of $-\frac{5}{2}$ with multiplicity of 5

b)

Graph will intersect the x-axis at -4

c)

Graph will be tangent to the x-axis at -4

d)

Zero of $-4$ with multiplicity of 4

e)

Graph will intersect the x-axis at 1

10.

Determine the zeros of the function.

$f\left(x\right)=x^4-7x^2+12$

a)

$x=\left\{\pm2,\pm\sqrt{3}\right\}$

b)

$x=\left\{\pm4,\pm3\right\}$

c)

$x=\left\{2,\pm\sqrt{3}\right\}$

d)

$x=\left\{2,\sqrt{3}\right\}$

PC - Polynomials and Zeros Quiz

Total questions: 10

Worksheet time: 20mins

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