Front

How many complex roots does the function y = x² + x - 2 have?

Back

2

Front

Which polynomial can be factored as a perfect square binomial?

Back

x² + 6x + 9

Front

Which polynomial has (x + 4) as a factor?

Back

x² + 6x + 8

Front

What is the complete factorization of 5x² - 80?

Back

5(x - 4)(x + 4)

Front

Find the product of (2 + 5i) and its conjugate (2 - 5i).

Back

29

Front

Define a complex root.

Back

A complex root is a solution to a polynomial equation that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is a perfect square binomial?

Back

A perfect square binomial is an expression that can be written in the form (a + b)² = a² + 2ab + b².

Front

How do you determine if (x + 4) is a factor of a polynomial?

Back

Use polynomial division or the Factor Theorem, which states that if f(-4) = 0, then (x + 4) is a factor.

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b).

Front

What is the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi.