Roots of a polynomials - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 1980

What will be the value of k so that the quadratic equation kx² - 4x + 1 = 0 has two equal roots?

A. 2
B. 3
C. 4
D. 8
E. \(\frac{1}{4}\)

Question 7:

• JAMB 1981

The sum of the root of a quadratic equation is \(\frac{5}{2}\) and the product of its root is 4. The quadratic equation is

A. X + 8x² - 5 = 0
B. 2x² - 5x + 8 = 0
C. 2x² - 8x + 5 = 0
D. X² + 8x - 5 = 0

Question 8:

• JAMB 1982

The solution to the quadratic equation 5 + 3x - 2x² = 0 is

A. (\(\frac{5}{2}\), 1)
B. (5, 3)
C. -(\(\frac{5}{2}\), -1)
D. (\(\frac{5}{2}\), -1)

Question 9:

• JAMB 2000

If α and β are the roots of the equation 3x\(^2\) + 5x - 2 = 0, find the value of 1/α + 1/β

A. -5/3
B. -2/3
C. 1/2
D. 5/2

Question 10:

• JAMB 2002

Solve for x in the equation x\(^3\) - 5x\(^2\) - x + 5 = 0

A. 1, - 1, or 5
B. 1, 1, or -5
C. -1, 1, or -5
D. 1, 1, or 5