Question

find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 4,1 ​

Answer 1

Question:

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 4,1

Analysis:

An expression which is in the form of ax²+bx+c, where a ≠ 0, b,c belongs to C is called a Quadratic Equation in x.

☞ a,b,c are called Co-efficients.

The Equation whose roots are α,β is

◕➜ x²-(α+β)x+(αβ) = 0

____________________

SoluTion:

Given,

The roots of the Equation = 4,1

Let's, α = 4, β = 1

According To The Equation

$\boxed{\sf{x²-(α+β)x+(αβ) = 0}}$

$→\;{\sf{x²-(4+1)x+(4×1)}}$

$→\;{\sf{x²-5x+4}}$

AnSweR:

The Required Quadratic Equation is

◕➜ $\Large\red{\bf{x²-5x+4}}$

Hope It Helps You ✌️