Multiplying Polynomials and Exponents

This video tutorial covers multiplying polynomials by monomials using the distributive property. It includes practice problems, combining like terms, and solving equations involving polynomials. The tutorial concludes with a challenge activity using a multiplication wheel to reinforce the concepts learned.

What is the first step in multiplying a polynomial by a monomial?

• Add the coefficients

• Multiply the coefficients

• Subtract the exponents

• Divide the coefficients

When multiplying 6x by 3x^2, what is the resulting exponent of x?

• x^2

• x^3

• x^5

• x^4

What is the result of multiplying 2x by 4y using the distributive property?

• 8xy

• 8x^2y

• 8y^2

• 8x^2

In the expression 5x^3 * x^4, what is the exponent of x in the result?

• x^7

• x^6

• x^5

• x^8

What is the result of combining like terms in the expression 12x^2 - 10x^2?

• 10x^2

• 2x^2

• 22x^2

• 0

How do you simplify the equation x^2 + 3x = x^2 - 6?

• Add x^2 to both sides

• Subtract 3x from both sides

• Add 6 to both sides

• Subtract x^2 from both sides

What is the solution to the equation 3x = 6?

• x = 4

• x = 3

• x = 2

• x = 1

In the wheel exercise, what is the result of multiplying 2x + 3y by 10?

• 20x + 30y

• 20x + 3y

• 2x + 30y

• 10x + 3y

What is the result of multiplying 2x + 3y by x^3 in the wheel exercise?

• 2x^4 + 3x^3y

• 2x^3 + 3xy

• 2x^3y + 3x^2

• 2x^4y + 3x^3

What is the result of multiplying 2x + 3y by 5y in the wheel exercise?

• 5x + 3y

• 10xy + 15y^2

• 5xy + 3y^2

• 10x + 15y