Question

write the quadratic polynomial whose zeroes are 5 and 3.

Answer 1

Answer:

then the polynomial =x^2-8x+15

Answer 2

QUESTION:

$write \: the \: quadratic \: polynominal \\ \: whose \: zeroes \: are \: 5 \: and \: 3.$

ANSWER :

LET

$\pink {alpha \: and \: \beta are \\ \\ \: the \: zeroes \: of \: the \: polynomial}$

WHERE

$\alpha = 5$

$\beta = 3$

WE KNOW THAT QUADRATIC POLYNOMIAL IS IN THE FORM OF

$a {x}^{2} + bx + c$

or

$a {x}^{2} - ( \alpha + \beta )x + \alpha \times \beta$

WHAT WE HAVE TO FIND :

$\alpha + \beta =$

and

$\alpha \times \beta$

$\alpha + \beta \\ 5 + 3 \\ 8$

$\alpha \times \beta \\ 5 \times 3 \\ 15$

PUTTING THIS IN POLYNOMIAL :

${x}^{2} - 8x + 15$

SO FINAL ANSWER;

${x}^{2} - 8x + 15}$

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