Master Multiplying monomials by polynomials

This video tutorial explains how to multiply a polynomial by a monomial using the distributive property. It emphasizes the importance of having the same base when multiplying terms and applying the power rule to add exponents. The tutorial provides several examples, starting with simple cases and progressing to more complex ones, including handling negative coefficients. The lesson concludes with a comprehensive example involving multiple terms.

What property is used when multiplying a monomial by a polynomial?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

When multiplying terms, what must be true about their bases?

• They must be positive.

• They must be integers.

• They must be different.

• They must be the same.

What do you do with the powers when multiplying exponents with the same base?

• Add them

• Divide them

• Multiply them

• Subtract them

In the expression 3x^2 * 2x^2, what is the resulting power of x?

• x^2

• x^3

• x^4

• x^5

What is the result of multiplying 7x by x - 5?

• 7x^2 - 35x

• 7x^2 + 35x

• 7x - 5

• 7x^2 - 5

How do you handle a negative sign when distributing in multiplication?

• Multiply it by the first term only

• Distribute it to each term

• Add it to the result

• Ignore it

What is the result of multiplying 8x^4 by 2x^5?

• 16x^9

• 16x^8

• 8x^9

• 8x^8