Factorise x^3+19x-150
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PLEASE MARK IT AS BRAINLIEST Factoring x2-19x-150
The first term is, x2 its coefficient is 1 .
The middle term is, -19x its coefficient is -19 .
The last term, "the constant", is -150
Multiply the coefficient of the first term by the constant 1 • -150 = -150
Find two factors of -150 whose sum equals the coefficient of the middle term, which is -19 .
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -25 and 6
x2 - 25x + 6x - 150
Add up the first 2 terms, pulling out like factors :
x • (x-25)
Add up the last 2 terms, pulling out common factors :
6 • (x-25)
Add up the four terms of step 4 :
(x+6) • (x-25)
(x + 6) • (x - 25)
The first term is, x2 its coefficient is 1 .
The middle term is, -19x its coefficient is -19 .
The last term, "the constant", is -150
Multiply the coefficient of the first term by the constant 1 • -150 = -150
Find two factors of -150 whose sum equals the coefficient of the middle term, which is -19 .
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -25 and 6
x2 - 25x + 6x - 150
Add up the first 2 terms, pulling out like factors :
x • (x-25)
Add up the last 2 terms, pulling out common factors :
6 • (x-25)
Add up the four terms of step 4 :
(x+6) • (x-25)
(x + 6) • (x - 25)
sapnachand75:
It is x^3
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