Question

Find a quadratic polynomial with the given numbers as the sumn and product of its zeroes
4 and 1 respectively.​

Answer 1

Step-by-step explanation:

The general form of quadratic polynomial is

${x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ where \: \alpha + \beta is \: su \: of \: zeros \\ \alpha \beta \: is \: product \: of \: zeros \\ \alpha + \beta = 4 \\ \alpha \beta = 1 \\ {x}^{2} - 4x + 1 \: is \: the \: required \: poynoial$