Question

factorise:x²+6x²+11x+6​

Answer 1

Answer:

Answer is (7x - 3)(x + 2).

Step-by-step explanation:

x² + 6x² + 11x + 6 = 7x² + 11x + 6

= 7x² + 14x - 3x + 6

= 7x(x + 2) - 3(x + 2)

= (7x - 3)(x + 2)

Answer 2

Step-by-step explanation:

Zeroes of x 3 −6x 2 +11x−6

By using rational theorem, the roots can be among the factors of

16 =6

Let us try x=1⇒(1)

3 −6(1) 2

+11(1)−6=0

∴(x−1) is a factor of x

3 −6x 2 +11x−6.

Now, using synthetic division method :

So, the quotient =x 2 −5x+6

Now, using common factor theorem,

⇒x 2 −5x+6=x 2 −2x−3x+6

=x(x−2)−3(x−2)

=(x−2)(x−3)

∴ Zeroes of the polynomial =1,2,3

So, factor of the polynomial =(x−1)(x−2)(x−3).

Hence, the answer is (x−1)(x−2)(x−3).