Question

Find a quadratic polynomial,the sum and product of whose zeroes are -1 and -20 respectively.hence find the zero

Answer 1

We havw formula : x2 − (sum of the roots)x + (product of the roots) = 0 Given sum = -1+(-20)= -21 Product = -1*-20= 20 So equation will be => x^2-(-21)x+20 => x^2+21x+20 Now for zeros we will split the middile term: => x^2-20x-x+20=0 => x(x-20)-1(x-20) => (x-1)(x-20) Hence zeros will be 1 and 20