Answer:
1. w= -5, -8 2. v=-3, 11 3. 5
Explanation:
1. w^2+1w+40=0
factors of 40; 1,40 2,20 4,10 5,8
8+5=13 therefore (x+8)(x+5)=0
x+8=0 x+5=0
x=-8 x=-5
2. v^2-8v-33=0
factors of -33; -1,33 -3,11 -11,3 1,-33
3-11=-8 therefore (x-11)(x+3)=0
x-11=0 x+3=0
x=11 x=-3
3. x^2+2x-35
one of the factors has to equal -7 so (x+7)
7x-5=-35 7-5=2
therefore (x+7)(x-5)=0
x=-7, 5