Math, asked by ishansapkota, 26 days ago

factorisze x^3-7x^2+7x+15​

Answers

Answered by ankush79918
1

Answer:

(X+1)(X-3)(X-5)

Step-by-step explanation:

x³-7x²+7x+15

if x=-1 then this equation become 0

x²(x+1)-8x(x+1)+15(x+1)

(x+1)(x²-8x+15)

(x+1)(x²-5x-3x+15)

(x+1)(x-3)((x-5)

Answered by tennetiraj86
3

Step-by-step explanation:

Given :-

x³-7x²+7x+15

To find :-

Factorize the given expression?

Solution :-

Given expression is x³-7x²+7x+15

It can be written as

=> x³-8x²+x²+15x-8x+15

=> (x³+x²)-(8x²+8x)+(15x+15)

=> x²(x+1)-8x(x+1)+15(x+1)

=> (x+1)(x²-8x+15)

=> (x+1)[x²-3x-5x+15]

=> (x+1)[x(x-3)-5(x-3)]

=> (x+1)(x-3)(x-5)

Answer:-

The factorization of x³-7x²+7x+15 is

(x+1)(x-3)(x-5)

Used Method:-

  • Splitting the middle term
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