Question

find a quadratic polynomial whose two zeros are 5 and 2​

Answer 1

Solution :

zeroes of required polynomial are 5 and 2.

Let α and β are the zeroes of required polynomial.

Let

• α = 5
• β = 2

Formula for finding a quadratic Polynomial:

$\underline{ \boxed{ \sf \: {x}^{2} + ( \alpha + \beta )x + \alpha \beta }}$

›› x² + (5 + 2)x + 5 × 2

›› x² + 7x + 10

Hence

• The required Quadratic polynomial is x² + 7x + 10

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