Multiply a Polynomial by a Binomial

Multiplying Polynomials

Algebra II

Remember

• Monomial times anything else => distribute!

• ​Binomial times binomial or trinomial => distribute both terms in 1st set & combine like terms.

Remember Also...

• When multiplying we add the powers.

​Monomial Multiplication

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​Binomial Multiplication

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Multiple Choice

Simplify.

  $$4x^2\left(8x-3\right)$$  

• $$4x^{ }-1$$  

• $$12x^3+1$$  

• $$32x^2-12$$  

• $$32x^3-12x^2$$  

Multiple Choice

Simplify.

  $$6y\left(7y^2+5y\right)$$  

• $$42y^3-30y^2$$  

• $$42y^3+30y^2$$  

• $$13y^3+11y^2$$  

• $$42y^2+30y$$  

Multiple Choice

Simplify.

  $$-3\left(7x-5\right)$$  

• $$21x-15$$  

• $$-21+15$$  

• $$-21x+15$$  

• $$-4x\ -8$$  

Multiple Choice

Do the first step

  $$\left(5x+4\right)\left(2x+3\right)$$  

• $$10x^2+15x+8x+12$$  

• 10x + 15x + 8x + 12

• $$7x^2+8x\ +6x\ +7$$  

• Impossible 

Multiple Choice

Now that you have that answer, continue.

  $$10x^2+15x+8x+12$$  

• It's already simplified.

• $$25x^2+20$$  

• $$33x+12$$  

• $$10x^2+23x+12$$  

Multiple Choice

Simplify.

  $$\left(2x+4\right)\left(3x+1\right)$$  

• $$5x^2+14x+5$$  

• 30x + 4

• $$6x^2+14x+4$$  

• $$8x^2+12x+4$$  

Multiple Choice

Simplify.

  $$\left(5x-8\right)\left(2x-1\right)$$  

• $$10x^2-21x+8$$  

• $$10x^2-11x+8$$  

• $$-11x^2+8$$  

• $$7x^2-2x-9$$