Factoring When A=1

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 does it mean when A=1 in a quadratic expression?

Back

When A=1, it means the coefficient of the x^2 term in a quadratic expression ax^2 + bx + c is equal to 1, simplifying the factoring process.

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

Factor the expression: p^2 - 14p

Back

p(p - 14)

Front

Factor the expression: k^2 - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the expression: r^2 - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the expression: x^2 + 4x + 3

Back

(x + 1)(x + 3)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all terms of the polynomial.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where an expression is in the form a^2 - b^2, which factors to (a - b)(a + b).

Front

How do you 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 it as (x + m)(x + n) where m and n are those numbers.