Flashcard 5 (Factoring and Solving Quadratics)

Front

Solve for x: x² + 9x - 36

Back

x = -12, x = 3

Front

Factor: 5x³ - 7x²

Back

x²(5x - 7)

Front

Find the solutions: -4, 2, -2, 4

Back

-4, 2

Front

Solve for x: 4x² - 16x - 9 (give the POSITIVE answer)

Back

9/2

Front

What are the factors of 3x² - 17x + 10?

Back

(x - 5)(3x - 2)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

Define factoring in algebra.

Back

Factoring is the process of breaking down an expression into simpler components that, when multiplied together, give the original expression.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a ≠ 0.

Front

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

Back

A quadratic is factored completely when it is expressed as a product of linear factors.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex.