Polynomial Vocabulary

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

• -10

• -5

• 2

• -3

The highest exponent on a polynomial represents the

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.)

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

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

• $t\left(x\right)=\pi x^4+\sqrt{6}$

• $j\left(x\right)=6-8x^3$

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

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

• Monomial

• Binomial

• Trinomial

• None of the above

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

•  $6x^3$  

•  $2x+3-4x^3$  

•  $-4+x^2$  

•  $7x^3-10x$  

Check all the polynomials that are in standard form.

• $f\left(x\right)=x+1$

• $p\left(x\right)=8x^8-7x^6-1$

• $g\left(x\right)=-3x^4+2x^5-x+1$

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

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

• 7

• -3

• 3

• 12

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

• 1

• -7

• 4

• 0

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

• 2

• -3

• 3

• -1

• 5

A ______________________ is a monomial or a sum of monomials.