factorise x square - 56 X + 108
Answers
Answer:
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Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -56x its coefficient is -56 .
The last term, "the constant", is +108
Step-1 : Multiply the coefficient of the first term by the constant 1 • 108 = 108
Step-2 : Find two factors of 108 whose sum equals the coefficient of the middle term, which is -56 .
-108 + -1 = -109
-54 + -2 = -56 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -54 and -2
x2 - 54x - 2x - 108
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-54)
Add up the last 2 terms, pulling out common factors :
2 • (x-54)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-54)
Answer:
56x +108
= (x-2) .(x-52) = 0
hope answer is correct..