Factoring Quadratics (a = 1), MMP for Geometry

Front

What is factoring in algebra?

Back

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

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean for a quadratic to be in standard form?

Back

A quadratic is in standard form when it is expressed as ax² + bx + c, where a ≠ 0.

Front

What is the significance of the coefficient 'a' in a quadratic expression?

Back

The coefficient 'a' determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

How do you factor a quadratic expression when a = 1?

Back

To factor a quadratic expression of the form x² + bx + c, find two numbers that multiply to c and add to b.

Front

Factor the expression: x² + 5x - 24

Back

(x + 8)(x - 3)

Front

Factor the expression: x² - 11x - 26

Back

(x - 13)(x + 2)

Front

Factor the expression: x² + 5x + 4

Back

(x + 4)(x + 1)

Front

Factor the expression: x² - x - 90

Back

(x + 9)(x - 10)

Front

Factor the expression: x² + 2x - 3

Back

(x - 1)(x + 3)