Factorise x-2 - 3x - 10 - 0 - Maths Q-A

Factorizing the polynomial.x^2 3x 10=0⇒x^2 5x+2x 10 =00ex0ex⇒ x(x 5)+2(x 5)=00ex0ex⇒ (x 5)(x+2) =0Hence, the factor of the given polynomial x^2 3x 10=0 a ...

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

Byju's Answer

Standard IX

Mathematics

Algebraic Identities

Factorise x^2...

Question

Factorise $x^{2} - 3 x - 10 = 0$

Open in App

Solution

Factorizing the polynomial.
$x^{2} - 3 x - 10 = 0$
$\Rightarrow x^{2} - 5 x + 2 x - 10 = 0 \Rightarrow x (x - 5) + 2 (x - 5) = 0 \Rightarrow (x - 5) (x + 2) = 0$
Hence, the factor of the given polynomial $x^{2} - 3 x - 10 = 0$ are $(x - 5)$ and $(x + 2)$

Suggest Corrections

115

Similar questions

Q. Factorise:
40 + 3x – x²

Factorise : $x^{2} - (a - 3) x - 3 a$

Factorise Completely : $x^{2} - y^{2} - 3 x - 3 y$

Factorise :

$x^{2} + 3 x + 2 + a x + 2 a$

Q. Factorise :

x^{2} + 3 \sqrt{3} x + 6 = 0

Join BYJU'S Learning Program

Factorise x2-3x-10=0

Factorizing the polynomial.x2-3x-10=0⇒x2-5x+2x-10=0⇒xx-5+2(x-5)=0⇒(x-5)(x+2)=0Hence, the factor of the given polynomial x2-3x-10=0 are x-5 and x+2

Factorise $x^{2} - 3 x - 10 = 0$

Factorizing the polynomial.
$x^{2} - 3 x - 10 = 0$
$\Rightarrow x^{2} - 5 x + 2 x - 10 = 0 \Rightarrow x (x - 5) + 2 (x - 5) = 0 \Rightarrow (x - 5) (x + 2) = 0$
Hence, the factor of the given polynomial $x^{2} - 3 x - 10 = 0$ are $(x - 5)$ and $(x + 2)$