fill in the blanks

Question

To factor
3x2 − 10x + 3
by grouping, find two numbers whose product is______ 
and whose sum is_____

Answer 1

OK, quadratic equations are in the form ax² + bx + c, where a,b,and c are numers. You want to find two numbers that add up to b that also multiply to a times c.

 

3x² - 10x + 3

 

You want two numbers whose product is 9 (3 x 3) and whose sum is -10 (the plus or minus in front of b and c go with the number.

 

-8x² + 28x - 20

 

You want two numbers whose product is 160 and whose sum is 28.