Q2 of 44 Page 67

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

1/4, -1

Given: α + β = 1/4

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,



…(2)


And,



If a = 4


⇒ c = -4 …(3)


From (2) and (3),


a = 4, b = -1 and c = -4


Hence, the polynomial is 4x2 – x – 4


More from this chapter

All 44 →
1

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

t2 - 15

 1

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

3x2 – x – 4

 2

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

 2

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