PCX Chapter 2 FE Review

Front

What is the factored form of k² - 36?

Back

(k + 6)(k - 6)

Front

What are the roots of the function if the answer is x = {-3, -1, 2}?

Back

The roots are x = -3, x = -1, and x = 2.

Front

Write the polynomial in standard form given the zeros x = -2, 1, 4.

Back

f(x) = x³ - 3x² - 6x + 8

Front

What is the complete list of all possible Rational Zeros for f(x) = x³ + 2x² - 6x + 8?

Back

±1, ±2, ±4, ±8

Front

What mistake did Cam make when dividing (x⁴ + 3x² - 4x - 2) by (x - 2) using synthetic division?

Back

Cam did not use a zero place holder for the x³ term.

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is synthetic division?

Back

Synthetic division is a shorthand method of dividing a polynomial by a linear binomial.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is a zero of a polynomial function?

Back

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

Front

What is the Rational Root Theorem?

Back

The Rational Root Theorem states that any rational solution of a polynomial equation is a fraction p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.