Question

the zeros of the polynomial x²
+ 5 x-6 is​

Answer 1

$\star\:\:\:\sf\large\underline\blue{Question:-}$

• Find the roots of the given quadratic equation.

$\star\:\:\:\sf\large\underline\blue{Solution:-}$

$\sf {x}^{2} + 5x - 6 = 0$

$\sf \implies {x}^{2} - x + 6x - 6 = 0$

$\sf \implies x(x - 1) + 6(x - 1) = 0$

$\sf \implies (x + 6)(x - 1) = 0$

Therefore, either x+6=0 or x-1=0

So,

$\sf x + 6 = 0 \implies x = - 6$

$\sf x - 1 = 0 \implies x = 1$

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

• The roots of the given quadratic equation are -6 and 1.

Answer 2

Answer:

Zeroes of the polynomial x^2 +5x -6 are 1 & -6

Step-by-step explanation:

x^2 + 5x - 6

x^2 + 6x - x -6

x(x + 6) -1(x + 6)

(x - 1) (x + 6)

Therefore, x= 1 & -6

HOPE IT HELPS !!