Question

Find the peroes of the quadratic
polynomial x² - 2x - 8​

Answer 1

Answer :

$\boxed{\text{-2 and 4 are the zeroes of the given polynomial}}$

Step-by-step explanation :

$\text{Given quadratic polynomial,}\\ x^2-2x-8 \\\\ \text{Let's find the zeroes by splitting middle term,} \\\\ =>x^2-2x-8=0\\\\ =>x^2+2x-4x-8=0\\\\=>x(x+2)-4(x+2)=0\\\\=>(x+2)(x-4)=0 \\\\ \implies (x+2)=0 \ ; \ x=-2 \\ \implies (x-4)=0 \ ; \ x=+4$

-2 and +4 are the zeroes of the polynomial.