Factoring Cubes

Front

What is the formula for factoring a sum of cubes?

Back

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Tags

CCSS.HSA.APR.C.4

Front

What is the formula for factoring a difference of cubes?

Back

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Tags

CCSS.HSA.APR.C.4

Front

Factor completely: 648a + 1029a^4

Back

3a(6 + 7a)(36 - 42a + 49a^2)

Front

Factor: v^3 + 1

Back

(v + 1)(v^2 - v + 1)

Tags

CCSS.HSA.APR.C.4

Front

Factor completely: 8x^4 + x

Back

x(2x + 1)(4x^2 - 2x + 1)

Front

Factor: x^3 + 125

Back

(x + 5)(x^2 - 5x + 25)

Tags

CCSS.HSA.APR.C.4

Front

Factor: 1 - a^3

Back

(1 - a)(1 + a + a^2)

Tags

CCSS.HSA.APR.C.4

Front

What is the first step in factoring polynomials?

Back

Look for a common factor in all terms.

Front

What is a polynomial?

Back

An expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.

Front

What does it mean to factor a polynomial completely?

Back

To express it as a product of irreducible polynomials.