Question

Factorize the polynomials: x3

– 6x2 + 3x + 10​

Answer 1

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)

Answer 2

Step-by-step explanation:

please see the attachment

I hope it helps you

Please mark it as a brainliest answer..