Factorise x-2-2x-3-0 - Maths Q-A

Factorize the given polynomial:The given polynomial is x^2 2x 3 Let x^2 2x 3=0⇒x^2 3x+x 3 =00ex0ex⇒ x(x 3)+(x 3)=00ex0ex⇒(x 3)(x+1) =0Hence, the factors ...

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Standard XIII

Mathematics

Algebra of Derivatives

Factorise x^2...

Question

Factorize $x^{2} - 2 x - 3$ .

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Solution

Factorize the given polynomial:
The given polynomial is $x^{2} - 2 x - 3$
Let $x^{2} - 2 x - 3 = 0$
$\Rightarrow x^{2} - 3 x + x - 3 = 0 \Rightarrow x (x - 3) + (x - 3) = 0 \Rightarrow (x - 3) (x + 1) = 0$
Hence, the factors of the polynomial $x^{2} - 2 x - 3$ are $(x - 3)$ and $(x + 1)$ .

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Factorize x2-2x-3.

Factorize the given polynomial:The given polynomial is x2-2x-3 Let x2-2x-3=0⇒x2-3x+x-3=0⇒xx-3+x-3=0⇒x-3x+1=0Hence, the factors of the polynomial x2-2x-3 are x-3 and x+1.

Factorize $x^{2} - 2 x - 3$ .

Factorize the given polynomial:
The given polynomial is $x^{2} - 2 x - 3$
Let $x^{2} - 2 x - 3 = 0$
$\Rightarrow x^{2} - 3 x + x - 3 = 0 \Rightarrow x (x - 3) + (x - 3) = 0 \Rightarrow (x - 3) (x + 1) = 0$
Hence, the factors of the polynomial $x^{2} - 2 x - 3$ are $(x - 3)$ and $(x + 1)$ .