✏️what are the factors of x²-2x-24
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➡ Solution
STEP1: Trying to factor by splitting the middle term
1.1 Factoring [tex]x^{2} -2x-24[/tex]
The first term is, [tex]x^{2}[/tex] its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
4 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-6)
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Final result :
(x + 4) • (x - 6)
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