Home
Class 9
MATHS
Factorize the splitting the middle te...

Factorize the splitting the middle term: `x^2+3sqrt(3)x+6`

Text Solution

Verified by Experts

`x^2+3sqrt(3)x+6`
Splitting the middle term, we get
`=x^2+2sqrt(3)x+sqrt(3)x+6`
`= x^2+2sqrt(3)x+sqrt(3)x+(sqrt(3))(2sqrt(3))`
`= x(x+2sqrt(3))+sqrt(3)(x+2sqrt(3))`
`=(x+2sqrt(3))(x+sqrt(3))`
Therefore,
`x^2+3sqrt(3)x+6 = (x+2sqrt(3))(x+sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS OF REAL NUMBER

    RD SHARMA|Exercise All Questions|186 Videos

  • FACTORIZATION OF POLYNOMIAL

    RD SHARMA|Exercise All Questions|220 Videos

Similar Questions

Explore conceptually related problems

Factorize the splitting the middle term: x^(2)+3sqrt(3)x-30

Factorize the following by splitting the middle term: 3x^(2)+19x+30

Find the roots of the given equation by splitting the middle term 9x^(2) - 3x - 20 = 0 .

Find the middle terms of (1/2x+2/3sqrtx)^(11)

Factorise quad 6x^(2)+17x+5 by splitting the middle term,and by using the Factor Theorem.

Factorize each of the following expressions by splitting the middle term: 2(x+y)^(2)-9(x+y)-5

Factorize each of the following expressions by splitting the middle term: 9(x-2y)^(2)-4(x-2y)-13

Factorise the polynomial x^(2)+7x+12 by splitting the middle term .

Factorize: x^(2)-sqrt(3)x-6