A quadratic polynomial describes a certain relation in a school science project

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

A quadratic polynomial

t(x)=x^{2}-6x+8

describes a certain relation in a school science project. Answer the following: (i) Solve the equation

t(x)=0

and list its roots. (ii) Calculate the value of

t(3.5)

. (iii) Find the sum

t(1)+t(5)