Factorise-x-2-8x-15- Maths Q-A

We need to factorise x^2 8x+15:x^2 8x+15By splitting the middle term,=x^2 5x 3x+150ex0ex=x(x 5) 3(x 5)0ex0ex=(x 5)(x 3)Hence, the factors of the given polynomia ...

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Standard VIII

Mathematics

Algebraic Expressions

Factorise:x^2...

Question

Factorise: $x^{2} - 8 x + 15$

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Solution

We need to factorise $x^{2} - 8 x + 15$ :
$x^{2} - 8 x + 15$
By splitting the middle term,
$= x^{2} - 5 x - 3 x + 15 = x (x - 5) - 3 (x - 5) = (x - 5) (x - 3)$
Hence, the factors of the given polynomial $x^{2} - 8 x + 15$ are $(x - 5)$ and $(x - 3)$ .

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Factorise: x2-8x+15

We need to factorise x2-8x+15:x2-8x+15By splitting the middle term,=x2-5x-3x+15=x(x-5)-3(x-5)=(x-5)(x-3)Hence, the factors of the given polynomial x2-8x+15 are (x-5) and (x-3).

Factorise: $x^{2} - 8 x + 15$

We need to factorise $x^{2} - 8 x + 15$ :
$x^{2} - 8 x + 15$
By splitting the middle term,
$= x^{2} - 5 x - 3 x + 15 = x (x - 5) - 3 (x - 5) = (x - 5) (x - 3)$
Hence, the factors of the given polynomial $x^{2} - 8 x + 15$ are $(x - 5)$ and $(x - 3)$ .