Factoring Quadratic Equations

Question 1

How is a quadratic equation expressed

Answer 1

f(x) = ax² + bx + c

Question 2

Steps when factoring using the distributive property: ax²+bx+c

Answer 2

Step 1: Multiply the first term by the last term.

Step 2:Find to factors whose product equals the product of step 1 and sum to the middle term

Step 3: Replace the middle term with the factors in step 2.

Step 4: Factor the polynomial by grouping the first two terms and last two terms.

Question 3

Steps when factoring quadratic equations using the area model.

Answer 3

Step 1: Place first term in top left box and last term in bottom right.

Step 2: Multiply first term and last term.

Step 3: Find factors whose product equals the product of step 2 and sums to the middle term.

Step 4: Place first factor in the top right box and second factor in the bottom left box.

Step 5: Find GCF of top left and right boxes.

Step 6: Find GCF of bottom left and right boxes.

Step 7: Find GCF of top left and bottom left boxes.

Step 8: Find GCF of top right and bottom right boxes.

Step 9: Write the equation.

Question 4

What are the steps to solve a quadratic equation after it’s factored using the zero product property

Answer 4

Step 1: Set the equation to zero

Step 2: Factor the quadratic

Step 3: Set each factor equal to zero and solve

Step 4: Write the solution set