the factors of the Quadratic equation y2 -8y-20 = 0
Answers
Step-by-step explanation:
The first term is, y2 its coefficient is 1 .
The middle term is, -y its coefficient is -1 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 1 • -2 = -2
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is -1 .
-2 + 1 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 1
y2 - 2y + 1y - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-2)
Add up the last 2 terms, pulling out common factors :
1 • (y-2)
Step-5 : Add up the four terms of step 4 :
(y+1) • (y-2)
Which is the desired factorization
Step-by-step explanation:
y2+8y-20y=0
y2-10y+2-20=0
y(y-10) +2(y-10)=0
(y-10) - (x+2) =0
x-10=0 or x+2