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

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

Back

x² + 6x + 8

Front

What are the solutions to 3x² + 28 = 1?

Back

x = ±3i

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

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

Back

The conjugate is a - bi.

Front

How do you factor a difference of squares?

Back

a² - b² = (a - b)(a + b)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.

Front

What does it mean for a polynomial to be factored completely?

Back

It means expressing the polynomial as a product of irreducible polynomials.