x2-8x-180 by completing square method
Answers
Answer:
1.1 Factoring x2+8x-180
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -180
Step-1 : Multiply the coefficient of the first term by the constant 1 • -180 = -180
Step-2 : Find two factors of -180 whose sum equals the coefficient of the middle term, which is 8 .
-180 + 1 = -179
-90 + 2 = -88
-60 + 3 = -57
-45 + 4 = -41
-36 + 5 = -31
-30 + 6 = -24
-20 + 9 = -11
-18 + 10 = -8
-15 + 12 = -3
-12 + 15 = 3
-10 + 18 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 18
x2 - 10x + 18x - 180
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
18 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x+18) • (x-10)
Which is the desired factorization
Equation at the end of step
1
:
(x + 18) • (x - 10) = 0
:
Step-by-step explanation:
hope its helping you
Step-by-step explanation:
x² +10x-18x-180
x(x-10)-18(x-10)
(x-18)(x-10)=0
x-18=0 or x-10=0
x=18 or x=10
the factors are 10.and 18