Exploring Multiplying Polynomials

This video tutorial covers the process of multiplying polynomials, starting with an introduction to the concept and moving through specific techniques such as multiplying monomials, using the distributive property, and applying the FOIL method for binomials. The tutorial emphasizes the importance of understanding operations and avoiding common mistakes, providing examples and practice problems to reinforce learning.

What is the result of multiplying 3 by 2?

• 5

• 8

• 10

• 6

Tags

CCSS.3.OA.C.7

When multiplying X to the fifth and X to the negative second, what operation is used on the exponents?

• Addition

• Division

• Multiplication

• Subtraction

Tags

CCSS.HSA.APR.A.1

What property is used to multiply a monomial by a binomial?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

Tags

CCSS.HSA.APR.A.1

What is the result of 4 times the first term and 4 times the second term in a binomial expression?

• 16x + 32

• 12x - 32

• 16x - 32

• 12x + 32

Tags

CCSS.7.EE.A.1

What does the 'F' in FOIL stand for?

• Factor

• Final

• Form

• First

Tags

CCSS.HSA.APR.A.1

In the FOIL method, what do the 'I' and 'L' stand for?

• 'Inside' and 'Last'

• 'Initial' and 'Least'

• 'Initial' and 'Last'

• 'Inside' and 'Least'

Tags

CCSS.HSA.APR.A.1

What is the result of multiplying the outside terms in the FOIL method for x(x+2)+7(2)?

• 14x

• x^2

• 2x

• 7x

Tags

CCSS.HSA.APR.A.1

When multiplying polynomials, what is crucial to remember about like terms?

• They can always be combined

• They cannot be combined

• Only terms with the same exponent can be combined

• Only terms with the same variable can be combined

Tags

CCSS.HSA.APR.A.1

What is the result of the multiplication (a-4)(a+3)?

• a^2 - a - 12

• a^2 + 4a - 12

• a^2 + a - 12

• a^2 - 4a - 12

Tags

CCSS.HSA.APR.A.1

In the expression 2a(a+4b^2)-b^2(a-4b^2), what is the coefficient of the term aB^2 after simplification?

• -4

• 0

• 7

• 8

Tags

CCSS.7.EE.A.1