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Find a quadratic polynomial the sum …

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Find a quadratic polynomial the sum and product of zeros are √2 and-3/2 respectively. Also find its zeros .

Posted by Jatin Kumar Nangaliya 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

? Pranali.A.P ? 5 years, 4 months ago

Hence, the required quadratic polynomial is 2x² + 2√2x + 3 Quadratic Equation Should be in the form of : ax² + bx + c. For Finding the quadratic polynomial we use this formula :- k = (x² - (α + β)x + αβ ). Now, Putting this in the formula

Gaurav Seth 5 years, 4 months ago

To Find :- The quadratic polynomial.

Quadratic Equation Should be in the form of : ax² + bx + c.

For Finding the quadratic polynomial we use this formula :- k = (x² - (α + β)x + αβ ).

It's Given that :-

Sum of roots ( α + β ) = -√2

Product of roots ( αβ ) = 3/2

Now, Putting this in the formula.

k = (x² - (α + β)x + αβ)

k= [ x² - (-√2)x +[tex]\huge\sf\dfrac{3}{2}]

k = x² + √2x + 3/2

k = 2x² + 2√2x + 3 / 2

Let k = 2.

2 = 2x² + 2√2x + 3 / 2

Hence, the required quadratic polynomial is 2x² + 2√2x + 3

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