Solving Polynomials Equations

Front

What is another way to say "where a function crosses the x-axis"?

Back

x-intercept, zero, root, all of these.

Front

Factor this difference of cubes: x³ - 343

Back

(x - 7)(x² + 7x + 49)

Front

Factor by grouping: 4p³ + 8p² + 3p + 6

Back

(4p² + 3)(p + 2)

Front

Factor: x³ + 1

Back

(x + 1)(x² - x + 1)

Front

Let f(x) = 3x² - 9x + 2. Is k = -3 a zero of the function? (Prove by using synthetic division)

Back

no

Front

What is a polynomial equation?

Back

An equation that involves a polynomial expression, which is a sum of terms, each consisting of a variable raised to a non-negative integer power.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What is synthetic division?

Back

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

Front

What is the Remainder Theorem?

Back

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

Front

What is the Factor Theorem?

Back

A polynomial f(x) has a factor (x - c) if and only if f(c) = 0.