Factorise x-2 - 4x-5 - Maths Q-A

Factorizing the polynomial:x^2 4x 50ex0ex=x^2 5x+x 50ex0ex=x(x 5)+1(x 5)0ex0ex=(x 5)(x+1)Hence, the factors of the given polynomial x^2 4x 5 are (x 5) and(x+1). ...

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Standard IX

Mathematics

Factorisation Using Synthetic Division

Factorise x^2...

Question

Factorise $x^{2} - 4 x - 5$

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Solution

Factorizing the polynomial:
$x^{2} - 4 x - 5 = x^{2} - 5 x + x - 5 = x (x - 5) + 1 (x - 5) = (x - 5) (x + 1)$
Hence, the factors of the given polynomial $x^{2} - 4 x - 5$ are $(x - 5)$ and $(x + 1)$ .

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Factorise x2-4x-5

Factorizing the polynomial:x2-4x-5=x2-5x+x-5=x(x-5)+1(x-5)=(x-5)(x+1)Hence, the factors of the given polynomial x2-4x-5 are (x-5) and(x+1).

Factorise $x^{2} - 4 x - 5$

Factorizing the polynomial:
$x^{2} - 4 x - 5 = x^{2} - 5 x + x - 5 = x (x - 5) + 1 (x - 5) = (x - 5) (x + 1)$
Hence, the factors of the given polynomial $x^{2} - 4 x - 5$ are $(x - 5)$ and $(x + 1)$ .