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Polynomial Vocabulary

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

Name the leading coefficient of this polynomial: f(x)=3x+2x25x510 f\left(x\right)=-3x+2x^2-5x^5-10\   (hint: put into standard form first - highest to lowest exponent.)

a)

-10

b)

-5

c)

2

d)

-3

2.

The highest exponent on a polynomial represents the

(a)  

3.

Which of the following are not polynomials?  Check all that apply. (hint: polynomials can't have fractions as exponents, they can't have negative exponents and the variable can't be in the denominator.)

a)

f(x)=2x2+x121f\left(x\right)=2x^2+x^{\frac{1}{2}}-1

b)

g(x)=x310+5x2+1g\left(x\right)=x^3\sqrt{10}+5x^{-2}+1

c)

t(x)=πx4+6t\left(x\right)=\pi x^4+\sqrt{6}

d)

j(x)=68x3j\left(x\right)=6-8x^3

e)

r(x)=8x34x2+2xr\left(x\right)=8x^3-4x^2+\frac{2}{x}

4.

Classify the following polynomial: f(x)=3+2x73x2f\left(x\right)=-3+2x^7-3x^2  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of the above

5.

Which of the following represent a cubic binomial? (hint: cubic means 3rd power and binomial means two terms)

a)

 6x36x^3  

b)

 2x+34x32x+3-4x^3  

c)

 4+x2-4+x^2  

d)

 7x310x7x^3-10x  

6.

Check all the polynomials that are in standard form.

a)

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

b)

p(x)=8x87x61p\left(x\right)=8x^8-7x^6-1

c)

g(x)=3x4+2x5x+1g\left(x\right)=-3x^4+2x^5-x+1

d)

y(x)=2(x+2)(x3)y\left(x\right)=2\left(x+2\right)\left(x-3\right)

7.

Name the constant term in the following polynomial:   g(x)=7x33x+3+12x4g\left(x\right)=7x^3-3x+3+12x^4  

a)

7

b)

-3

c)

3

d)

12

8.

 d(x)=7x+4d\left(x\right)=-7x+4  What is the degree of this polynomial?

a)

1

b)

-7

c)

4

d)

0

9.

 e(x)=x3+2x2+5x43e\left(x\right)=-x^3+2x^2+5x^4-3  What is the coefficient on cubed term?


a)

2

b)

-3

c)

3

d)

-1

e)

5

10.

A (a)   is a monomial or a sum of monomials.