As ab is negative, a and bbhave the opposite signs. As a+ba+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −18.
-1,18
-2,9
-3,6
-1+18=17
-2+9=5
-3+6=3
(the answer is -3 and 6 because the sum you need find is 3 which is the 3x in the equation)
a=-3
b=6
(x²−3x)+(6x−18)
x(x−3)+6(x−3)
-Factor out common term x-3x−3 by using distributive property.
Answers & Comments
Answer:
(x-3) (x+6)
Step-by-step explanation:
a+b=3
ab=1(-18)=-18
As ab is negative, a and bbhave the opposite signs. As a+ba+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −18.
-1,18
-2,9
-3,6
-1+18=17
-2+9=5
-3+6=3
(the answer is -3 and 6 because the sum you need find is 3 which is the 3x in the equation)
a=-3
b=6
(x²−3x)+(6x−18)
x(x−3)+6(x−3)
-Factor out common term x-3x−3 by using distributive property.