Question

Find the quadratic polynomial, for the zeros α, β given in each case.
(i) 2, –1 (ii) √3, –√3 (iii) 1/4, – 1 (iv) 1/2, 3/2

Answer 1

(i) x^2+x-2=0
(ii) x^2-3=0
(iii) x^2-(3/4)x-(1/4)=0
4x^2-3x-1=0
(iv) x^2+2x+(3/4)=0
4x^2+8x+3=0