Roots & Factors of Polynomials

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

How many roots does a polynomial of degree n have?

Back

A polynomial of degree n has at most n roots.

Front

What are the roots of the polynomial function y = (x + 2)(x - 3)(x + 4)?

Back

The roots are -2, 3, and -4.

Tags

CCSS.HSF-IF.C.7C

Front

What is the factored form of a polynomial with roots at 1, -3, and 4?

Back

The factored form is (x - 1)(x + 3)(x - 4).

Tags

CCSS.HSA.APR.B.3

Front

If a polynomial has a degree of 4, what can you say about its roots?

Back

It can have 4 real roots, or a combination of real and imaginary roots.

Front

What is a polynomial?

Back

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

Front

What is the relationship between the degree of a polynomial and the number of roots?

Back

The degree of a polynomial indicates the maximum number of roots it can have.

Front

How do you find the roots of a polynomial?

Back

To find the roots, set the polynomial equal to zero and solve for the variable.

Front

What is the significance of the roots of a polynomial?

Back

The roots of a polynomial are the values of the variable that make the polynomial equal to zero.

Front

What does it mean for a polynomial to have imaginary roots?

Back

Imaginary roots occur when the polynomial does not intersect the x-axis, indicating complex solutions.

Tags

CCSS.HSN.CN.C.9