Operations with Polynomials Lesson

Whenever you add two or more polynomials your answer should be

• Another polynomial always
• A constant always
• Not necessarily a polynomial all of the time
• A rational expression

Whenever you multiply two or more polynomials...

• Your answer will be a rational expression
• Your answer will be degree 2 all the time
• Your answer will be another polynomial always
• Your answer will always be a constant.

(x-3)(x+4) is an example of

• Multiplication of polynomials
• Subtraction of polynomials
• Addition of polynomials
• Division of polynomials

(3x²+2x-4)+(x³-2x²+3) is an example of what type of operation of polynomials

• Subtraction
• Addition
• Multiplication
• Division

(3x²+2x-4)-(x³-2x²+3) is what type of an operation of polynomials

• Multiplication
• Addition
• Subtraction
• Division

 x³x²=

• 2x⁵
• x
• 5x
• x⁵

x³(2x²+3x)=

• 2x⁵+3x⁴
• 2x⁶+3x³
• 5x⁹
• 5x

(x²+4)(x²-4)=

• x⁴-8x²+16
• x⁴-16
• x⁴-8x²-16
• x⁴+8x²+16

Whenever you subtract two or more polynomial...

• Your coefficients will always be eliminated
• Your answer will always be another polynomial
• Your answer will always be a constant
• Not necessarily a polynomial all of the time

-x²(3x²-2x+2)

• -4x⁴+3x³-3x²
• -3x⁴+2x²-2x³
• -3x⁴+2x³-2x²
• 3x⁴-2x³+2x²