Question

Find a quadratic polynomial each with the given numbers as its zeroes
respectively.
a) - 3, - 2

Answer 1

Answer:

EXPLANATION:-

As, given the zeros are -3 & -2

• sum of zeroes = -3 + -2

= -5

• product of zeroes = -3 × -2

= 6

polynomial , p(x) = x²- (sum of zeroes)x + product of zeroes

$\tt \implies \boxed { \: p(x) \: = {x}^{2} - \: ( - 5x) \: + 6}$

$\tt \implies \boxed { \: {x}^{2} \: + 5x \: + 6 }$

$\therefore \: {the \: required \: answer \: is \: {x}^{2} + 5x + 6 }$

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