Find the remainder when X³ - 2X² + 3X - 3 is divided by X² + 1

A. 2X - 1

B. X + 3

C. 2X + 1

D. X - 3

Factorize completely 9y² - 16X²

A. (3y - 2x)(3y + 4x)

B. (3y + 4x)(3y + 4x)

C. (3y + 2x)(3y - 4x)

D. (3y - 4x)(3y + 4x)

Solve for x and y respectively in the simultaneous equations -2x - 5y = 3. x + 3y = 0

A. -3, -9

B. 9, -3

C. -9,3

D. 3, -9

If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1\(\frac{7}{9}\)

A. 20\(\frac{1}{4}\)

B. 27

C. 2\(\frac{1}{4}\)

D. 36

T varies inversely as the cube of R. When R = 3, T = \(\frac{2}{81}\), find T when R = 2

A. \(\frac{1}{18}\)

B. \(\frac{1}{12}\)

C. \(\frac{1}{24}\)

D. \(\frac{1}{6}\)

Solve the inequality -6(x + 3) \(\leq\) 4(x - 2)

A. x \(\leq\) 2

B. x \(\geq\) -1

C. x \(\geq\) -2

D. x \(\leq\) -1

Solve the inequality x2 + 2x > 15.

A. x < -3 or x > 5

B. -5 < x < 3

C. x < 3 or x > 5

D. x > 3 or x < -5

Find the sum of the first 18 terms of the series 3, 6, 9,..., 36.

A. 505

B. 513

C. 433

D. 635

The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms

A. 60

B. 62

C. 54

D. 64

A binary operation \(\oplus\) om real numbers is defined by x \(\oplus\) y = xy + x + y for two real numbers x and y. Find the value of 3 \(\oplus\) - \(\frac{2}{3}\).

A. - \(\frac{1}{2}\)

B. \(\frac{1}{3}\)

C. -1

D. 2