Question

Form the polynomial of the zeros 4 and 1

Answer 1

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Answer 2

$\huge{\underline{\underline{\mathbb{\purple{AnswEr:-}}}}}$

$\longrightarrow$Given that, the zeroes are 4 & 1.

$\longrightarrow$Let one zero be $\alpha$

and other be $\beta$

$\longrightarrow$Sum of zeroes = $( \alpha + \beta )$

$\longrightarrow$$( \alpha + \beta ) = 4 + 1 = 5$

$\longrightarrow$product of zeroes =$\alpha \times \beta$

$\longrightarrow$$\alpha \times \beta = 4 \times 1 = 4$

Formation of polynomial

$\longrightarrow$ ${x}^{2} - (sum \: of \: zeroes)x + product \: of \: zeroes$

$\longrightarrow$${x}^{2} - 5x + 4$

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