Factorization of polynomials - Jamb Mathematics Past Questions and Answers

Question 61:

• JAMB 1998

Factorize r² - r(2p + q) + 2pq

A. (r - 2q)(2r - p)
B. (r - p)(r + p0
C. (r - q)(r - 2p)
D. (2r - q)(r + p)

Question 62:

• JAMB 1998

Express in partial fractions \(\frac{11x + 2}{6x^2 - x - 1}\)

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

Question 63:

• JAMB 1999

If \(\frac{(a^2 b^{-3}c)^{\frac{3}{4}}}{a^{-1}b^{4}c^{5}}=a^{p} b^{q} c^{r}\) What is the value of p+2q?

A. (5/2)
B. -(5/4)
C. -(25/4)
D. -10

Question 64:

• JAMB 1999

If {(a²b^-3c)^3/4/a^-1b⁴c⁵} = a^pb^qc^r; what is the value of p+2q?

A. (5/2)
B. -(5/4)
C. -(25/4)
D. -10

Question 65:

• JAMB 1999

Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\).

A. (x+y+6)(x+y-3)
B. (x-y-6)(x-y+3)
C. (x-y+6)(x-y-3)
D. (x+y-6)(x+y+3)