Solving Polynomial Equations

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean for a polynomial to have zeros?

Back

Zeros of a polynomial are the values of x that make the polynomial equal to zero.

Tags

CCSS.HSF-IF.C.7C

Front

How many zeros does the polynomial P(x) = 3x^4 + 4x - 8 have?

Back

4

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis.

Front

What is another term for the x-intercept?

Back

Zero or root.

Tags

CCSS.HSF-IF.C.7D

Front

Solve the polynomial equation x^4 - 256 = 0.

Back

x = 4, x = -4, x = 4i, x = -4i.

Tags

CCSS.HSA-REI.B.4B

Front

What are the x-intercepts of the polynomial y = 3(x + 4)(x + 1)(x - 3)?

Back

-4, -1, 3.

Tags

CCSS.HSF-IF.C.7C

Front

List the zeros for the function f(x) = (x + 4)(x - 3)(x - 2).

Back

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

Tags

CCSS.HSF-IF.C.7C

Front

What is the degree of the polynomial P(x) = 3x^4 + 4x - 8?

Back

The degree is 4.

Front

What does the Fundamental Theorem of Algebra state?

Back

It states that every non-constant polynomial equation has at least one complex root.

Tags

CCSS.HSN.CN.C.9