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Day 10- L1- Intro to Polynomial Functions

Total questions: 14

Worksheet time: 3hrs 49mins

Name
Class
Date
1.

Which of the following functions are polynomials? Select all that apply.

a)

y=x23x+2y=x^2-3x+2

b)

y=x23x+22y=\frac{x^2-3x+2}{2}

c)

y=2y=2

d)

y=5x32xy=5x^{-3}-2x

e)

y=5x67x3+x8y=5x^6-7x^3+x-8

2.
What is the degree of the polynomial function below?
y = x3 + 4x - 5
a)
3
b)
4
c)
5
d)
98.6
3.
What is the degree of the following function?
y = 25 - x2
a)
25
b)
1
c)
2
d)
-1
4.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
5.

Write this polynomial in standard form: 

 x2+5x53x+2x310x^2+5x^5-3x+2x^3-10  

a)

 5x5+2x3+3x+x2105x^5+2x^3+3x+x^2-10  

b)

 5x5+2x3+x23x105x^5+2x^3+x^2-3x-10  

c)

 5x5+2x3+x2+3x105x^5+2x^3+x^2+3x-10  

d)

 2x3+5x5+x23x102x^3+5x^5+x^2-3x-10  

6.
What is the leading coefficient of the following polynomial?
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6
7.

Which of these has a negative leading coefficient?

a)

x² - 9x - 4

b)

6x - 9

c)

-8x + 8

d)

9x

8.

Add the following polynomials


(x³ - 6x² + 3) + (3x³ + 4x -1)

a)

4x³-2x²+2

b)

4x³-6x²+4x+2

c)

-2x³+2x+2

d)

4x³-2x²-2

9.

Subtract the following polynomials:

(3x² - 3x + 2) - 2(x² - 2x + 1)

a)

x² - 5x

b)

x² - 5x + 3

c)

x² + x

d)

5x² - 5x + 3

10.

Which of the following functions is a  polynomial? 

a)

 y=x23x+2y=x^{-2}-3x+2 

b)

 y=x27x+2xy=\frac{x^2-7x+2}{x} 

c)

 y=2xy=2\sqrt{x} 

d)

 y=5x32x5y=\frac{5x^3-2x}{5} 

11.

Identify the leading term: 

 x2+5x53x+2x310x^2+5x^5-3x+2x^3-10  

a)

 55  

b)

 2x32x^3  

c)

 5x55x^5  

d)

 1010  

12.

Identify the degree of this polynomial: 

 x2+5x53x+2x310x^2+5x^5-3x+2x^3-10  

a)

0

b)

10

c)

5

d)

11

13.

Identify the leading term of this polynomial:


25 - x2

a)

25

b)

x2

c)

- x2

d)

2

14.

Identify the leading coefficient of this polynomial:


25 - x2

a)

0

b)

25

c)

1

d)

-1