Understanding Polynomial Multiplication

Commutative Property

Distributive Property

Identity Property

Associative Property

Combine like terms

Distribute the monomial across each term of the polynomial

Multiply the coefficients

Add the coefficients

6x^2 + 10x

12x^2 + 15x

8x + 10

7x + 14

Forgetting to distribute the negative sign

Squaring each term individually

Adding the terms instead of multiplying

Multiplying each term by 2

x^2 - 3x + 3

x^2 - 6x + 9

x^2 + 6x + 9

x^2 - 9

Combine like terms

Distribute each term of the binomial across the trinomial

Add the coefficients

Subtract the exponents

x^3 - 3x^2 + 7x

x^2 - 3x + 7

x^3 + 2x^2

x^2 + 3x + 7

x^3 - 2x^2 + 2x + 14

x^3 - x^2 + x + 14

x^3 + x^2 + x + 14

x^3 - x^2 + 2x + 14

2x^2 + 6x + 14

2x^2 - 3x + 7

2x^2 + 3x + 14

2x^2 - 6x + 14

x^3 - 3x^2 + 7x + 14

x^3 - x^2 + x + 14

x^3 - x^2 + 2x + 14

x^3 - x^2 + x + 14