Answer:
-1(7x+12)(x+1)
Step-by-step explanation:
1) Find out which two integer numbers whose product result in -84 and whose sum is -5?
-7x² +5x +12= 0
Product ( )*( )= -84
And Sum ( )+( )= 5
12 * -7 = -84 and 12 +(-7) = 5
2) We now can rewrite the above trinomial as
-7x²+12x-7x-12=0
3) Group them, highlight the MCD and rewrite it as a product.
x(7x+12) -1(7x-12)=0 Maximum Common Divider in evidence
x(7x+12) -1(7x-12)=0 Common Factor in bold multiplied by -1
-1(7x-12)(x+1) The Second term was divided by -1
-1(7x+12)(x+1)=0
4) Test it, to check your work
-1(7x+12)(x+1)
-1[7x²-5x-12]
-7x²+5x+12
