Pre Calc End of Q2 Review Fall 2024

Front

What is the result of the polynomial subtraction: (5x^4 - 4x^3 - 2x^2 + x - 19) - (x^4 + 5x^3 + 8x^2 + x + 5)?

Back

4x^4 - 9x^3 - 10x^2 - 24

Front

Subtract the complex numbers: (4 + 7i) - (1 + i).

Back

3 + 6i

Front

Simplify the expression: \frac{1+i}{2-3i}.

Back

-\frac{1}{13} + \frac{5}{13}i

Front

Simplify the expression: (p^3 - 6p^4 + 1) - (8p^4 - 8p^3 + 7).

Back

-14p^4 + 9p^3 - 6

Front

Multiply the complex numbers: (2 + 3i)(4 - 6i).

Back

26

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 the degree of a polynomial?

Back

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

Front

What is the formula for multiplying two binomials?

Back

(a + b)(c + d) = ac + ad + bc + bd.

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Front

What is the process to simplify a complex fraction?

Back

Multiply the numerator and denominator by the conjugate of the denominator.