Factoring Day 1

Front

What is factoring in algebra?

Back

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

Front

What are the factors of a^2 + 11a + 18?

Back

(a + 2)(a + 9)

Front

What are the factors of b^2 + 16b + 64?

Back

(b + 8)(b + 8)

Front

What are the factors of m^2 + m - 90?

Back

(m + 10)(m - 9)

Front

What are the factors of n^2 + 4n - 12?

Back

(n + 6)(n - 2)

Front

What are the factors of n^2 - 11n + 10?

Back

(n - 1)(n - 10)

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax^2 + 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

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

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

Back

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