Distributing and Multiplying Polynomials

This video tutorial covers the multiplication of polynomials, starting with distributing a monomial across a trinomial. It then explains how to multiply two binomials using the FOIL method, followed by multiplying a binomial by a trinomial. The tutorial concludes with more complex operations involving binomials and monomials, emphasizing the importance of distributing terms and combining like terms.

What is the result of distributing 4a^3 across the trinomial a^4 - 5a^2 - 2a?

• 4a^7 - 20a^5 - 8a^4

• 4a^7 - 20a^6 - 8a^3

• 4a^6 - 20a^5 - 8a^4

• 4a^7 - 20a^5 - 8a^3

Which acronym is used to remember the steps for multiplying two binomials?

• DISTRIBUTE

• MULTIPLY

• FOIL

• EXPAND

What is the result of multiplying the binomials 5x + 1 and x - 8 using the FOIL method?

• 5x^2 + 39x - 8

• 5x^2 - 40x + 8

• 5x^2 - 39x + 8

• 5x^2 - 39x - 8

When multiplying a binomial by a trinomial, what is the first step?

• Subtract the exponents

• Distribute each term of the binomial

• Align like terms

• Add the coefficients

What is the result of multiplying n + 1 by n^2 + 4n + 5?

• n^3 + 4n^2 + 9n + 6

• n^3 + 5n^2 + 9n + 6

• n^3 + 4n^2 + 9n + 5

• n^3 + 5n^2 + 9n + 5

In the expression x - 4 * x + 5, what is the result after applying the FOIL method?

• x^2 + 9x - 20

• x^2 - x - 20

• x^2 + x - 20

• x^2 - 9x - 20

What is the result of distributing -2x^2 across x - 1?

• 2x^3 - 2x^2

• 2x^3 + 2x^2

• -2x^3 - 2x^2

• -2x^3 + 2x^2

What is the simplified form of the expression -2x^3 + 3x^2 + x - 20?

• 2x^3 - 3x^2 - x + 20

• -2x^3 + 3x^2 + x - 20

• -2x^3 - 3x^2 + x + 20

• 2x^3 + 3x^2 - x - 20

What happens to the terms +5m and -5m in the expression (m - 5)(m + 5)?

• They add up to 10m

• They subtract to 0

• They cancel each other out

• They multiply to 25m^2

What is the final result of adding the expressions m^2 - 5m + 6 and m^2 - 25?

• m^2 - 5m - 19

• 2m^2 - 5m + 19

• m^2 - 5m + 19

• 2m^2 - 5m - 19