Question

Find the zero of the polynomial
5x^2- 3x-2

Answer 1

${\huge{\underline{\underline{\sf {\mathfrak{Answer}}}}}}$

${\underline{\underline{\rm {Given:}}}}$

• $Polynomial = 5x^2 - 3x - 2$

$\underline{\underline{\rm{To \ find}}}$

• $Zeroes\ of \ the \ polynomial$

${\underline{\underline{\rm {Solution:}}}}$

• $5x^2 - 3x - 2 =0$
• $5x^2 - 5x + 2x - 2=0$
• $5x(x - 1) + 2 (x - 1) = 0$
• $(x - 1) (5x +2) = 0$

$\boxed{\implies{\boxed{One \ zero = 1}}}$

$\boxed{\implies{\boxed{Other \ zero = \dfrac{-2}{5}}}}$

Answer 2

Finding zeroes of polynomial 5x^2-3x-2 is same as solving the equation 5x^2-3x-2 = 0.

Thus, 5x^2-3x-2 = 0

=> 5x^2-5x+2x-2=0 (middle tem splitting)

=> 5x(x-1)+2(x-1)=0

=> (5x+2)(x-1) = 0

=> 5x+2=0 or x-1=0

=> x=-2/5 or x=1

Thus, the zeroes of the polynomial are 1 and -2/5