Free Printable 2nd Quarter: Homework#1

1.

What is the leading term of the polynomial function

f\left(x\right)=3x^3-2x^4+x^2+x+5

?

a)

$3x^3$

b)

$-2x^4$

c)

$x^2$

d)

5

2.

What is the degree of the polynomial function

f\left(x\right)=3x\left(x+2\right)^2\left(x-1\right)+3

?

a)

2

b)

3

c)

4

d)

5

3.

What is the leading coefficient of the polynomial function

f\left(x\right)=\frac{4x^5}{5}-2x^3+6-\frac{x^6}{2}

?

a)

$\frac{4}{5}$

b)

6

c)

$-\frac{1}{2}$

d)

- 2

4.

What is the constant term of the polynomial function

f\left(x\right)=-2\left(x+1\right)\left(x-2\right)\left(x+2\right)

?

a)

- 4

b)

4

c)

- 8

d)

8

5.

The following are examples of polynomial functions, EXCEPT?

a)

$f\left(x\right)=x^{-4}+2x^3+x^2+1$

b)

$f\left(x\right)=\frac{x^3}{4}+5x^2-6x+2$

c)

$f\left(x\right)=\sqrt{5}x^4+5x^3+2$

d)

$f\left(x\right)=4x\left(2x+1\right)\left(x-1\right)^3$

6.

If the end behavior of a graph of the polynomial function falls to the left and rises to the right, which of the following is true about the leading term?

a)

the leading coefficient is positive, the degree is odd

b)

the leading coefficient is positive, the degree is even

c)

the leading coefficient is negative, the degree is odd

d)

the leading coefficient is negative, the degree is even

7.

Which of the following is true about the graph above?

a)

the leading coefficient is positive, the degree is even

b)

the leading coefficient is negative, the degree is even

c)

the leading coefficient is positive, the degree is odd

d)

the leading coefficient is negative, the degree is odd

8.

Which of the following is true about the graph above?

a)

the leading coefficient is positive, the degree is even

b)

the leading coefficient is negative, the degree is even

c)

the leading coefficient is positive, the degree is odd

d)

the leading coefficient is negative, the degree is odd

9.

Which of the following is TRUE about the leading coefficient and degree of $f\left(x\right)=-x^3+x^2+3x-1$ ?

a)

positive, odd

b)

negative, even

c)

positive, even

d)

negative, odd

10.

Determine the end behavior of the graph of polynomial function $f\left(x\right)=x\left(x+2\right)^2\left(x-1\right)^3$ ?

a)

rises to the left, falls to the right

b)

rises to the right, falls to the left

c)

falls to both sides

d)

rises to both sides

2nd Quarter: Homework#1

Total questions: 10

Worksheet time: 8mins

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