Ch2 QZZ Review

Front

List the possible rational zeros of the polynomial: f(x) = x^3 - 4x^2 - 4x + 16

Back

The possible rational zeros are: \pm1, \pm2, \pm4, \pm8, \pm16.

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is: f(x) = a(x - h)^2 + k, where a ≠ 0.

Front

How can you determine if x - 2 is a factor of the polynomial 2x³ - 5x² + x - 2?

Back

Use synthetic division and see if the remainder is zero.

Front

List all of the possible rational zeros of the polynomial: p(x) = 3x^2 + x + 7

Back

The possible rational zeros are: -1/3, -7/3, -1, -7, 1/3, 7/3, 1, 7.

Front

Find the polynomial with the given zeros: (x + 2), (x - 4), (x - 3i)

Back

The polynomial is: x^4 - 2x^3 + x^2 - 18x - 72.

Front

What is the Rational Root Theorem?

Back

The Rational Root Theorem states that any rational solution of a polynomial equation is of the form \frac{p}{q}, where p is a factor of the constant term and q is a factor of the leading coefficient.

Front

Define synthetic division.

Back

Synthetic division is a simplified form of polynomial long division that is used to divide a polynomial by a linear factor.

Front

What is the significance of the remainder in synthetic division?

Back

If the remainder is zero, then the divisor is a factor of the polynomial.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degree.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is: f(x) = ax^2 + bx + c.