Polynomials Introduction

What is the definition of like terms?

• Terms with the same coefficient

• Terms with the same exponent

• Terms with the same variable

• Terms with the same variable and degree

3x³+7x-9 is a

• Monomial

• Binomial

• Trinomial

• It has no specific name

 $\frac{1}{4}x^3+\frac{3}{8}x^2-3x+5$  is a

• Monomial

• Binomial

• Trinomial

• It has no specific name

 $4x-3+5x^2$  is organized in descending order

• True

• False

The degree of the polynomial

 $\frac{3}{4}x^8+3x^5-\frac{1}{x^2}$   is:

Simplify:

 $-6x^3+7x-2+5x^3+4x^2+3$  

•  $x^3-4x^2-7x+1$  

•  $-x^3+4x^2+7x+1$  

•  $11x^5$  

• This polynomial cannot be simplified

Simplify:

 $3-4x+2x^2-6+8x-4x^2+2x^3$  

•  $4x-3$  

•  $x^6$  

•  $-9+12x+6x^2$  

•  $2x^3-2x^2+4x-3$  

The degree of the polynomial is

• The lowest of terms' degrees

• The highest of terms' degrees

• The addition of all degrees

• The multiplication of all degrees

• The greatest common factor of all degrees

Simplify and organize in descending order:

 $4x+6x^2-3-\left(4x^2+2x\right)$  

•  $6x+10x^2-3$  

•  $2x+2x^2-3$  

•  $2x^2+2x-3$  

•  $2x^2+6x-3$  

What are the missing terms of the polynomial?

 $x^8+7x^5+4x^4-3x^2+2x$  

•  $0x^7$ , $0$  

•  $0x^7$ ,  $0x^6$  

•  $0x^7$ ,  $0x^6$ ,  $0x^5$  , $0$  

•  $0x^7$  , $0x^6$  , $0x^5$  , $0x^3$  , $0$