Multiply Polynomials by Monomials and Combine Like Terms

How to multiply a monomial by a polynomial?

• Remove all variables in the polynomial then multiply.

• Combining like terms

• A single term polynomial.

• Distribute the monomial throughout the polynomial.

Multiply:
(3x – 1)(x + 5) 

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

Which of these methods is commonly used when MULTIPLYING polynomials

• FOIL method

• SOIL method

• Number Theory

• Set Theory

What are terms that have the same variable and exponent called?

• Coefficients

• Like Terms

• Constants

• Monomials

When you multiply polynomials, what do you do with the exponents?

• Add them

• Multiply them

• Nothing

When you multiply polynomials, what do you do with the coefficients?

• Add them

• Multiply them

• Nothing

Simplify
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

5x(2x³+6)

• 10x⁴+30x

• 10x³+30x

• 7x⁴+11x

Multiply (7v³)(10u³v⁵)

• 70u³v⁶

• 17u³v⁸

• 70u³v⁸

• none of the above

(-4a)(3abc)

• -12abc

• -12bc

• -4a²bc

• -12a²bc