Question

We look for factors of "a times c" that add up to "b". This allows us to split up the middle term of the polynomial.

a) Factoring method
b) Completing the square
c) Quadratic formula
d) Synthetic division

Answer 1

The factoring method involves finding factors of 'a times c' that add up to 'b' in order to solve a quadratic equation.

Step-by-step explanation:

The method mentioned in the question, which involves factoring the polynomial by finding factors of 'a times c' that add up to 'b', is called the factoring method.

Step 1: Write the quadratic equation in the form ax² + bx + c = 0.

Step 2: Find factors of a * c that add up to b.

Step 3: Rewrite the middle term using the factors found in the previous step.

Step 4: Factor the quadratic equation and solve for the unknown variable.

Example: Let's say we have the equation x² + 5x + 6 = 0. Factors of 6 that add up to 5 are 2 and 3. So, we rewrite the middle term as 2x + 3x. Now, we can factor the equation as (x + 2)(x + 3) = 0 and solve for x.