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 is a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal to zero.

Front

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

Back

4

Front

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

Back

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

Front

Solve x^4 - 256 = 0.

Back

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

Front

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

Back

-4, -1, 3

Front

What is another way to say 'where a function crosses the x-axis'?

Back

x-intercept, zero, root, all of these.

Front

What is the degree of a polynomial?

Back

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

Front

What does it mean for a polynomial to be factored?

Back

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

Front

What is the leading coefficient of a polynomial?

Back

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