Factoring a=1

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

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

Back

(d - 5)(d - 5) or (d - 5)².

Front

How do you identify the coefficients in a quadratic equation?

Back

In the quadratic equation ax² + bx + c = 0, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the factored form of r² - 16r + 60?

Back

(r - 6)(r - 10).

Front

What is the process to factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to 'c' and add to 'b', then rewrite the expression as a product of two binomials.

Front

What is the factored form of k² + 7k + 10?

Back

(k + 2)(k + 5).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (a + b)² = a² + 2ab + b².

Front

What is the factored form of v² - 6v + 9?

Back

(v - 3)².

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a² - b² can be factored as (a + b)(a - b).