Math, asked by prachisinghsenger330, 1 month ago

using factor theorum, factarize x³- 6x3x

Answers

Answered by rubhang
0

Answer:

For factoring x  

3

−6x  

2

+3x+10, we should know atleast one zero of this polynomial. Once we know it, we can divide the polynomial by the factor to find the quotient and factor the quotient further to find other zeroes.

Keeping x=1,(1)  

3

−6(1)  

2

+3(1)+10

=0

⇒x=2,(2)  

3

−6(2)  

2

+3(2)+10=0

so, (x−2) is a factor.

Now,

⇒ Quotient =x  

2

−4x−5

Using common factor theorem.,

x  

2

+x−5x−5

x(x+1).5(x+1)

(x+1)(x−5)

To find zeroes (x+1)(x−5)=0

⇒x=−1,x=5

So, the zeroes of polynomial x=−1,2,5.

Hence, the answer should be (x+1)(x−2)(x−5)

Hope this answer helps you.

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