2y2+22y+60
Factor 2 out of 2y2.
2(y2)+22y+60
Factor 2 out of 22y.
2(y2)+2(11y)+60
Factor 2 out of 60.
2y2+2(11y)+2⋅30
Factor 2 out of 2y2+2(11y).
2(y2+11y)+2⋅30
Factor 2 out of 2(y2+11y)+2⋅30.
2(y2+11y+30)
2(y2+11y+30)
Factor y2+11y+30 using the AC method.
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 30 and whose sum is 11.
5,6
Write the factored form using these integers.
2((y+5)(y+6))
2((y+5)(y+6))
Remove unnecessary parentheses.
2(y+5)(y+6)
2(y+5)(y+6)
Factor 2y^2+22y+60