AP Precalculus Unit 1 Review

Front

What is the factored form of a polynomial with roots 7 and -2i?

Back

(x-7)(x+2i)(x-2i)

Front

What happens to the polynomial graph at an x-intercept with an EVEN multiplicity?

Back

The graph touches or bounces at the x-intercept.

Front

What is true about a point of inflection in a function?

Back

At a point of inflection, the rate of change of a function changes from increasing to decreasing or from decreasing to increasing.

Front

Do polynomials of even degree have both a global maximum and a global minimum?

Back

False, polynomials of even degree do not have both a global maximum and a global minimum.

Front

If the graph of a function crosses the x-axis, what does that indicate about the multiplicity of that zero?

Back

The multiplicity is odd.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

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 is the leading coefficient of a polynomial?

Back

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

Front

What does it mean for a polynomial to be factored?

Back

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

Front

What is the significance of the roots of a polynomial?

Back

The roots of a polynomial are the values of x for which the polynomial equals zero.