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

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

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Standard IX

Mathematics

Algebraic Identities

Factorize x^2...

Question

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

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Solution

Factorize the 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 of the polynomial $x^{2} - 5 x + 6$ is $(x - 2) (x - 3)$

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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

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Factorize x2-5x+6.

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

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

Factorize the 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 of the polynomial $x^{2} - 5 x + 6$ is $(x - 2) (x - 3)$