Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Tags

CCSS.6.EE.A.3

Front

Simplify: 5(3x + 2)

Back

15x + 10

Tags

CCSS.6.EE.A.3

Front

What is the difference of two polynomials?

Back

The difference of two polynomials is found by subtracting the corresponding coefficients of like terms.

Tags

CCSS.HSA.APR.A.1

Front

Find the difference: (3 - 2x + 2x^2) - (4x - 5 + 3x^2)

Back

-x^2 - 6x + 8

Tags

CCSS.HSA.APR.A.1

Front

Multiply: 7x^2y^3(2x^4y^5 + 6xy^3)

Back

14x^6y^8 + 42x^3y^6

Tags

CCSS.HSA.APR.A.1

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the FOIL method: First, Outside, Inside, Last.

Tags

CCSS.HSA.APR.A.1

Front

Multiply: (x + 5)(x + 4)

Back

x^2 + 9x + 20

Tags

CCSS.HSA.APR.A.1

Front

Multiply: (x - 3)(x + 10)

Back

x^2 + 7x - 30

Tags

CCSS.HSA.APR.A.1