Polynomial Roots and Factors Test Review

Front

What is the degree of a polynomial function?

Back

The degree of a polynomial function is the greatest exponent on the variable.

Front

How do you determine the degree of the polynomial function f(x)=(x+3)(x^2-4)?

Back

The degree of the function is 3.

Front

What are the roots of the polynomial function f(x)=x(2x-3)(5x-4)?

Back

The roots are x=0, x=3/2, and x=4/5.

Front

How do you find the roots of a polynomial function?

Back

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

Front

What are the roots of the polynomial function f(x)=4x^3+8x^2-9x-18?

Back

The roots are x=-3/2, x=3/2, and x=-2.

Front

What is a polynomial function in factored form?

Back

A polynomial function in factored form is expressed as a product of its linear factors.

Front

Write a polynomial function with a leading coefficient of -5 and roots of 3, -4, and 7 in factored form.

Back

f(x)=-5(x-3)(x+4)(x-7).

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.

Front

How do you find the leading coefficient of the polynomial f(x)=4x^3+8x^2-9x-18?

Back

The leading coefficient is 4, which is the coefficient of the x^3 term.

Front

What is the relationship between the roots and factors of a polynomial?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and each root corresponds to a factor of the polynomial.