1 A 1 B 1 C 1 D 1 E 1 F 2 A 2 B 2 C 2 D 2 E 2 F 3 A 3 B 3 C 3 D 4

Q. 2 D4.5( 11 Votes )

Find the quadratic polynomial in each case, with the given numbers as the sum and product of its zeroes respectively.

1, 1

Class 10th AP- Mathematics 3. Polynomials

Answer :

Given: α + β = 1

αβ = 1

Let the quadratic polynomial be ax² + bx + c …(1)

Where, a≠0

And zeroes of the polynomial are α and β .

Now we know that,

And,

If a = 1

⇒ b = -1 …(2)

⇒c = 1 …(3)

From (2) and (3),

a = 1, b = -1 and c = 1

Hence, the polynomial is x² – x + 1

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