Factorization of polynomials - Jamb Mathematics Past Questions and Answers

Question 31:

• JAMB 1989

If \(f(x) = 2x^2 - 5x + 3\), find f(x + 1).

A. 2x² - x
B. 2x² - x + 10
C. 4x² + 3x + 2
D. 4x² + 3x + 12

Question 32:

• JAMB 1989

Simplify \(\frac{324 - 4x^2}{2x + 18}\)

A. 2(x - 9)
B. 2(9 + x)
C. 81 - x²
D. -2(x - 9)

Question 33:

• JAMB 1989

Factorize completely \(y^3 -4xy + xy^3 - 4y\)

A. (y + xy)(y + 2)(y - 2)
B. (y - xy)(y - 2)
C. Y(1 + x)(y + 2)(y -2)
D. Y(1 - x)(y + 2)(y - 2)

Question 34:

• JAMB 1989

Factorize 4a² - 12ab - C² + 9b²

A. 4a(a - 3b) + (3b - c)²
B. (2a + 3b - c)(2a + 3b + c)
C. (2a - 3b + c)(2a - 3b - c)
D. 4a(a - 3b) + (3b + c)

Question 35:

• JAMB 1989

What are K and L respectively if \(\frac{1}{2}\)(3y - 4x)² = (8x² + kxy + Ly²)

A. -12, \(\frac{9}{2}\)
B. -6, 9
C. 6, 9
D. 12, \(\frac{9}{2}\)