Q3 of 44 Page 67

Find the quadratic polynomial, for the zeroes given in each case.
1/2, 3/2

Let the quadratic polynomial be ax² + bx + c

And, its zeroes be α and β

If a = 4,

⇒ b = -8

⇒ c = 3

Hence, the polynomial is 4x² – 8x + 3.

Find the quadratic polynomial, for the zeroes given in each case.

1/4, -1

Verify that 1, -1 and -3 are the zeroes of the cubic polynomial x³ + 3x² – x - 3 and check the relationship between zeroes and the coefficients.

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

p(x) = x³ – 3x² + 5x – 3, g(x) = x² - 2

Questions · 44

3. Polynomials

1 2 3 4 5 1 2 2 2 2 3 3 3 3 3 4 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 4 1 1 1 2 2 2 3 4 5 5 5

Find the quadratic polynomial, for the zeroes given in each case.1/2, 3/2