Factored Form
Difference of Squares
Sums and Products
100

What is the factored form of the expression x2+5x+6?

What is (x+2)(x+3)?

100

What is the difference of squares of x2−16?

What is (x−4)(x+4)?

100

If the sum is 8 and product is 15, what are the numbers?

What are 3 and 5?

200

Factor the quadratic expression x2−7x+10

What is (x−2)(x−5)?

200

Factor the expression 49y2−1

What is (7y−1)(7y+1)?

200

For the quadratic x2−sx+p, if s=9 and p=20, what are the 2 solutions?

What are 5 and 4?

300

Rewrite the expression 2x2+8x in factored form.

What is 2x(x+4)

300

What is the factored form of x2−25y2?

What is (x−5y)(x+5y)?

300

 Find two numbers whose sum is 10 and product is 24.

What are 6 and 4?

400

Factor the expression 3x2+12x+12

What is 3(x+2)(x+2) or 3(x+2)^2?

400

Factor 4x2−36.

What is 2(x−3)(x+3)?

400

If the sum is -3 and the product is -10, what are the two numbers?

What are -5 and 2?

500

What is the factored form of x2−9

What is (x−3)(x+3)?

500

Rewrite x4−16 using the difference of squares.

What is (x2−4)(x2+4) and further factor  (x2−4) to get (x−2)(x+2)(x2+4)?

500

Given a quadratic with roots 2 and 3, what is the quadratic expression in standard form?

What is x2−5x+6