Solving Polynomial Equations

Front

What is a polynomial equation?

Back

A polynomial equation is an equation that involves a polynomial expression, which is a mathematical expression consisting of variables raised to whole number powers and coefficients.

Front

What does it mean to solve a polynomial equation by factoring?

Back

Solving a polynomial equation by factoring involves rewriting the polynomial as a product of its factors and then setting each factor equal to zero to find the solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How do you factor a quadratic equation in the form ax^2 + bx + c?

Back

To factor a quadratic equation, look for two numbers that multiply to ac (the product of a and c) and add to b. Rewrite the equation using these numbers to factor it.

Front

What is the difference of cubes formula?

Back

The difference of cubes formula states that a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Tags

CCSS.HSA.APR.C.4

Front

Factor the polynomial: x^2 + 5x + 6.

Back

(x + 2)(x + 3) because 2 and 3 multiply to 6 and add to 5.

Front

What is the sum of cubes formula?

Back

The sum of cubes formula states that a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Tags

CCSS.6.EE.A.2C

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the polynomial equal to zero and solve for the variable.

Front

Solve by factoring: x^2 - 9 = 0.

Back

x = 3 and x = -3.

Tags

CCSS.HSA-REI.B.4B

Front

What is a leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.