Factorization of polynomials - Jamb Mathematics Past Questions and Answers

Question 36:

• JAMB 1989

Express \(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) as a single algebraic fraction

A. \(\frac{-3}{(x + 1)(2 - x)}\)
B. \(\frac{3}{(x + 1)(2 - x)}\)
C. \(\frac{-1}{(x + 1)}\)
D. \(\frac{1}{(x + 1)(x - 2)}\)

Question 37:

• JAMB 1989

Simplify \(\frac{x(x + 1)^{\frac{1}{2}} - (x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}}\)

A. \(\frac{-1}{x + 1}\)
B. \(\frac{1}{x + 1}\)
C. \(\frac{1}{x}\)
D. \(\frac{1}{x - 1}\)

Question 38:

• JAMB 1990

The H.C.F. of a²bx + ab²x and a²b - b² is

A. B
B. A + b
C. B(a \(\div\) b)
D. Abx(a² - b²)

Question 39:

• JAMB 1990

Factorize 9(x + y)² - 4(x - y)²

A. (x + y)(5x + y)
B. (x + y)²
C. (x + 5y)(5x + y)
D. 5(x + y)²

Question 40:

• JAMB 1990

What must be added to 4x² - 4 to make it a perfect square?

A. \(\frac{-1}{x^2}\)
B. \(\frac{1}{x^2}\)
C. 1
D. -1