Factorize x-2 - 5x - 6- - Maths Q-A

Factorize the given polynomialx^2+5x+60ex0ex=x^2+2x+3x+60ex0ex=x(x+2)+3(x+2)0ex0ex=(x+2)(x+3)Hence, the factorized form of the polynomial x^2+5x+6 is (x+2)(x+3) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Division Algorithm for a Polynomial

Factorize x^2...

Question

Factorize $x^{2} + 5 x + 6$ .

Open in App

Solution

Factorize the given polynomial
$x^{2} + 5 x + 6 = x^{2} + 2 x + 3 x + 6 = x (x + 2) + 3 (x + 2) = (x + 2) (x + 3)$
Hence, the factorized form of the polynomial $x^{2} + 5 x + 6$ is $(x + 2) (x + 3)$

Suggest Corrections

367

Similar questions

Q. Solve the following quadratic equations by factorization method.
(i) x² –5x + 6 = 0

Q. Factorize

:

(i)

x^{2} + 5 x + 6 = 0

(ii)

x^{2} - 5 x + 6 = 0

(iii)

x^{2} + 5 x - 6 = 0

(iv)

x^{2} - 5 x - 6 = 0

Q. Factorize:

x^{2} - 5 x - 6

Q. Factorize

x^{2} + 5 x + 6

Q. Factorize the polynomial:

x^{2} - 5 x + 6

Join BYJU'S Learning Program

Factorize x2+5x+6.

Factorize the given polynomialx2+5x+6=x2+2x+3x+6=x(x+2)+3(x+2)=(x+2)(x+3)Hence, the factorized form of the polynomial x2+5x+6 is x+2x+3

Factorize $x^{2} + 5 x + 6$ .

Factorize the given polynomial
$x^{2} + 5 x + 6 = x^{2} + 2 x + 3 x + 6 = x (x + 2) + 3 (x + 2) = (x + 2) (x + 3)$
Hence, the factorized form of the polynomial $x^{2} + 5 x + 6$ is $(x + 2) (x + 3)$