Question

Find the quadratic polynomial the sum and product of whose
zeroes are -3 and 2 respectively​

Answer 1

★ Answer ★

➤ The quadratic polynomial of the given zeroes is x² + 3x + 2.

★ Given :-

• Sum of zeroes = -3

• Product of zeroes= 2

★ Have to find :-

• Find the Quadratic equation.

★ Solution :-

As we know the formation of quadratic equation.

$\boxed{ \bf{\bold{p(x) = {x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes)}}}$

Here ,.

Sum of zeroes ↬ (-3)

Product of zeroes ↬ (2)

Now, Substituting the values in the above equation, we get

↬ x² -(-3)x + (2)

↬ x² + 3x + 2

Therefore, the quadratic polynomial of the given zeroes is

x² + 3x + 2.

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Answer 2

★ Answer ★

➤ The quadratic polynomial of the given zeroes is x² + 3x + 2.

★ Given :-

Sum of zeroes = -3

Product of zeroes= 2

★ Have to find :-

Find the Quadratic equation.

★ Solution :-

As we know the formation of quadratic equation.

$\boxed{ \bf{\bold{p(x) = {x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes)}}}$

Here ,.

Sum of zeroes ↬ (-3)

Product of zeroes ↬ (2)

Now, Substituting the values in the above equation, we get

↬ x² -(-3)x + (2)

↬ x² + 3x + 2

Therefore, the quadratic polynomial of the given zeroes is

x² + 3x + 2.

Note :- App user ? Swipe left to see the answer.

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