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Paulo Dybala here is your answer
Step-by-step explanation:
P(x)=x²-x²-14 x + 24
factors of 24 are possible rational roots of P(x), if at all rational roots exist.
so roots are possibly: + 1, 2, 3, 4, 6,8, 12, 24 or -1, -2, -3, -4, -6, -8, -12, -24
check with 1,-1,2.. x=2> P(2) = 0
let, P(x) = (x - 2) [x² - ax + (24/-2)]
then compare coefficients of x² term or x term, then
-ax² - 2x² = -1x² 2 ax-12 x = -14 x
=> a = -1
=> a = -1
P(x) = (x-2)(x²+x-12) =
find factors of -12 that have difference of -1.
so -4 and 3 are roots of x² +x-12
P(x)=(x-2)(x+4) (x - 3)
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