Factoring when a=1

Front

What is the factored form of x² + 7x + 6?

Back

(x + 6)(x + 1)

Front

What is the factored form of d² - 10d + 25?

Back

(d - 5)(d - 5)

Front

What is the factored form of x² - 11x + 30?

Back

(x - 5)(x - 6)

Front

What is the factored form of x² - 4x + 3?

Back

(x - 1)(x - 3)

Front

Define factoring in algebra.

Back

Factoring is the process of breaking down an expression into a product of simpler expressions.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

What are the steps to factor a quadratic expression?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the expression and factor by grouping.

Front

What is the significance of the leading coefficient in factoring?

Back

When a = 1, the factoring process is simplified as we only need to find two numbers that add to b and multiply to c.

Front

What does it mean for a quadratic to be a perfect square trinomial?

Back

A perfect square trinomial can be factored into the square of a binomial, e.g., (a + b)² = a² + 2ab + b².