Question

i need correct answer.. dont give fake answers.....

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I need it urgently..
don't say that the pic is not clear........

the exact answer=(x+1) (x-2) (x-3)
I need step by step explainaton​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

letp(x) x³-4x²+x+6

here 6= 1×2×3=> (x±1),(x±2),(x±3) may be factors of the polynomial.

checking for x-1 =0=> x= 1 then

p(1)= 1³-4×1¹+1+6≠0

=> x-1 is not a factor

again if x+1 is a factor=> x+1=0> x= -1

=> p(-1) = -1³-1²×4-1+6=0

=> x+1 is factor of p(x)

similarly if x-2 is a factor=> p(2) = 8-16-2+6=0

=> x-2 is a factor of p(x)

again if x+2 is a factorthen p(-2) ≠0

if x-3 is a factor p(3)= 27-36+3+6= 26-36=0

=> x-3 is a factor of p(x)

hence x³-4x²+x+6= (x+1)(x-2) (x-3)

Hope this helps you better than your hope