Question : If the expression px³ – qx² – 7x – 6 is completely divisible by x² – x – 6, then what are the values of p and q respectively?

Option 1: 0 and 1

Option 2: 1 and 0

Option 3: 2 and 1

Option 4: 1 and 2

Question : Simplify the following expression.
2 + (30 – 26)² ÷ 8^{{3 – 2}} × 0.5

Option 1: 2

Option 2: 1

Option 3: 3

Option 4: 0

Question : What is the value of (3x³ + 5x²y + 12xy² + 7y³), when x = – 4 and y = – 1?

Option 1: – 329

Option 2: – 359

Option 3: – 361

Option 4: – 327

Question : If the expression px³ – 2x² – qx + 18  is completely divisible by  (x² – 9), then what is the ratio of p to q?

Option 1: 1 : 9

Option 2: 1 : 3

Option 3: 3 : 1

Option 4: 9 : 1

Question : For what value of k will the expression x⁶ – 18x³ + k be a perfect square?

Option 1: –9

Option 2: –81

Option 3: 9

Option 4: 81