Question

factorize x³-10x²-53x-42​

Answer 1

Answer:

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Answer 2

Answer:

put x=-1 in given expression

(-1)^3-10(-1)^2-53(-1)-42

-1-10+53-42

-53+53

0

hence (x+1) is one of factors of given expression..

using synthetic division method,

-1 |1 -10 -53 -42

| -1. 11. 42

--------------------

1. -11. -42. 0

hence (x^2-11x-42) is the remaining

hence x^3-10x^2-53x-42 =(x+1)(x^2-11x-42)