12/18 Math 3 EOC Review

Front

What is the factored form of the expression 27x^3 + 8?

Back

(3x + 2)(9x^2 - 6x + 4)

Front

How can you determine if (x-2) is a factor of f(x) = x^3 - 8x^2 + 14x - 4?

Back

If the remainder is zero when f(x) is divided by (x-2), then (x-2) is a factor.

Front

What is the result of dividing the rational expression (3x^3 + 5x - 1) by (x + 1)?

Back

3x^2 - 3x + 8 - \frac{9}{x + 1}

Front

What is the proper way to write the polynomial 2x^3 - x^2 - 25x - 12?

Back

2x^3 - x^2 - 25x - 12

Front

What is the result of the polynomial division (3x^3 + 5x - 1) ÷ (x + 1)?

Back

3x^2 - 3x + 8 - \frac{9}{x + 1}

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.

Front

What is the difference between a factor and a multiple?

Back

A factor is a number that divides another number without leaving a remainder, while a multiple is the product of a number and an integer.