Q1 · hard · AI-verified
Factorise and simplify: (3x² – 5x – 2) ÷ (x – 2). What is the quotient?
- (3x – 1)
- (3x + 2)
- (3x + 1)
- (x + 3)
Q2 · hard · AI-verified
If (x + 2) is a factor of 3x³ + 8x² + kx – 4, what is the value of k, and what is the other factor of the form (ax² + bx + c)?
- k = 4; other factor is (3x² – 2x + 2)
- k = 1; other factor is (3x² + 2x – 2)
- k = 2; other factor is (3x² + 2x – 2)
- k = 2; other factor is (3x² – 2x – 2)
Q3 · hard · AI-verified
What is the degree of the polynomial obtained by multiplying (x² – 3x + 2) and (2x³ + x – 5)?
- 6
- 3
- 5
- 4
Q4 · hard · AI-verified
A train covers a distance of (2x² + 7x + 6) km in (x + 2) hours. What is the speed of the train in terms of x?
- (2x + 3) km/hr
- (x + 3) km/hr
- (2x + 6) km/hr
- (2x – 3) km/hr
Q5 · hard · AI-verified
If 2x + 3y = 12 and 3x – 2y = 5, what is the value of x + y?
- 4
- 3
- 5
- 6