S1 Final exam Review Units 3, 4 and 5

Front

Simplify i^43

Back

-i

Front

Factor Completely: 3x^4 + 3x^3 - 12x^2 - 12x

Back

3x(x+2)(x-2)(x+1)

Front

Cam divided (x^4 + 3x^2 - 4x - 2) by factor of (x-2) using synthetic division. Which best describes his mistake?

Back

Cam did not use a zero place holder for the x^3 term.

Front

If the degree of the polynomial is 3, what are the possibilities for solutions?

Back

1 real and 2 complex

Front

Factor Completely: 2n^3 + 7n^2 - 2n - 7

Back

(n + 1)(n - 1)(2n + 7)

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 factor.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What are complex solutions in polynomials?

Back

Complex solutions are solutions that include imaginary numbers, typically in the form a + bi.

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 f(c).