Factor & Solve Polynomials

Front

Back

6

Front

What is a degree-3 polynomial known as?

Back

Cubic polynomial

Front

What is a degree-2 polynomial known as?

Back

Quadratic polynomial

Front

If the zeros of f(x) = 5, 10, -13, what are the factors of f(x)?

Back

(x - 5)(x - 10)(x + 13)

Front

If the problem asks you to factor a polynomial knowing that (x - 5) is a factor, what number do you synthetically divide by?

Back

5

Front

What is the general form of a polynomial of degree n?

Back

P(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0, where a_n ≠ 0.

Front

What is a polynomial?

Back

A mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What is the leading coefficient of a polynomial?

Back

The coefficient of the term with the highest degree.

Front

What is synthetic division?

Back

A simplified method of dividing a polynomial by a linear factor.

Front

What is the Remainder Theorem?

Back

If a polynomial f(x) is divided by (x - c), the remainder is f(c).