Factoring a = 1

Front

What is the definition of factoring in algebra?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What are the factors of the quadratic expression x^2 - 10x + 24?

Back

The factors are (x - 4)(x - 6).

Front

How do you factor a difference of squares?

Back

A difference of squares can be factored using the formula a^2 - b^2 = (a + b)(a - b).

Front

What is the factored form of n^2 - 13n + 40?

Back

The factored form is (n - 5)(n - 8).

Front

What is the factored form of x^2 - 25?

Back

The factored form is (x + 5)(x - 5).

Front

How do you factor the quadratic expression x^2 - 10x + 16?

Back

You can factor it as (x - 2)(x - 8).

Front

What is the process to factor a trinomial of the form x^2 + bx + c?

Back

To factor a trinomial, find two numbers that multiply to c and add to b, then express the trinomial as the product of two binomials.

Front

What are the steps to factor x^2 + 9x - 36?

Back

1. Identify two numbers that multiply to -36 and add to 9. 2. The numbers are 12 and -3. 3. The factored form is (x + 12)(x - 3).

Front

What is the significance of the leading coefficient in factoring quadratics?

Back

The leading coefficient (a) affects the shape of the parabola and can influence the factoring process, especially if a ≠ 1.