Factoring and Solving Polynomial Equations

Front

What are the zeros of the function f(x)=(x+4)(x-3)(x-2)?

Back

x=-4, x=3, x=2

Front

Solve for x: (2x - 1)(x + 4) = 0

Back

x = 1/2, x = -4

Front

Factor the polynomial x^3 + 125.

Back

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

Front

What is the GCF of 32n^2 - 50?

Back

2(4n + 5)(4n - 5)

Front

Factor out the GCF from 80x^5 - 70x^2 - 60x^7.

Back

10x^2(8x^3 - 7 - 6x^5)

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 4x^3 - 2x^2 + 7?

Back

The degree is 3.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of multiple terms.

Front

What is the formula for factoring a difference of squares?

Back

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