Question

If α and βare zeros of quadratic polynomial p(x); then factorise p(x)

Answer 1

let p(x)=ax²+bx+c

let p(x)=ax²+bx+cwe can use spit the middle term

let p(x)=ax²+bx+cwe can use spit the middle termso

let p(x)=ax²+bx+cwe can use spit the middle termsoα+β=-b/a

let p(x)=ax²+bx+cwe can use spit the middle termsoα+β=-b/aand

let p(x)=ax²+bx+cwe can use spit the middle termsoα+β=-b/aandαβ=c/a

let p(x)=ax²+bx+cwe can use spit the middle termsoα+β=-b/aandαβ=c/ax=αorβ