Please solve this: Find the quadratic polynomial, sum of whose zeros is 2 and product is -8 Hence find - Maths - Polynomials

Question

Please solve this: Find the quadratic polynomial, sum of whose
zeros is 2 and product is -8 Hence find the zeros of the polynomial

Bakul Biswas · Accepted Answer

Dear Student,
let α and β be the zeroes of the required polynomial fx
given,α+β=2 and αβ=-8then,fx=x2-α+βx+αβ⇒fx=x2-2x+-8⇒fx=x2-2x-8hence the required polynomial is fx=x2-2x-8
now,fx=0⇒x2-2x-8=0⇒x2-4-2x-8=0⇒x2-4x+2x-8=0⇒xx-4+2x-4=0⇒x-4x+2=0⇒x=4,-2so,the zeroes of fx are 4,-2
Hope this
information will clear your doubts about topic

If you have any more doubts just ask here on the forum and
our experts will try to help you out as soon as
possible
Regards

Please solve this: Find the quadratic polynomial, sum of whose zeros is 2 and product is -8. Hence find the zeros of the polynomial.