Question

important questions arising from the lesson polynomials of class 10th CBSE​

Answer 1

Question 1.

If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k. (2012)

Solution:

Here a = 3, b = -k, c = 6

Sum of the zeroes, (α + β) = \frac { -b }{ a } = 3 …..(given)

⇒ \frac { -(-k) }{ 3 } = 3

⇒ k = 9

Question 2.

If α and β are the zeroes of the polynomial ax2 + bx + c, find the value of α2 + β2. (2013)

Solution:

Important Questions for Class 10 Maths Chapter 2 Polynomials Q2

Question 3.

If the sum of the zeroes of the polynomial p(x) = (k2 – 14) x2 – 2x – 12 is 1, then find the value of k. (2017 D)

Solution:

p(x) = (k2 – 14) x2 – 2x – 12

Here a = k2 – 14, b = -2, c = -12

Sum of the zeroes, (α + β) = 1 …[Given]

⇒ \frac { -b }{ a } = 1

⇒ \frac { -\left( -2 \right) }{ { k }^{ 2 }-14 } = 1

⇒ k2 – 14 = 2

⇒ k2 = 16

⇒ k = ±4

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