X2-55x+414 =0 quardratic equarion
Answers
Answer:
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Answer:
Factoring x2+5x-414
The first term is, x2 its coefficient is 1 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -414
Step-1 : Multiply the coefficient of the first term by the constant 1 • -414 = -414
Step-2 : Find two factors of -414 whose sum equals the coefficient of the middle term, which is 5 .
-414 + 1 = -413 -207 + 2 = -205 -138 + 3 = -135 -69 + 6 = -63 -46 + 9 = -37 -23 + 18 = -5 -18 + 23 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 23
x2 - 18x + 23x - 414
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-18)
Add up the last 2 terms, pulling out common factors :
23 • (x-18)
Step-5 : Add up the four terms of step 4 :
(x+23) • (x-18)
Which is the desired factorization