English Medium कक्षा ९ - CBSE Question Bank Solutions

Find the values of p and q so that x⁴ + px³ + 2x³ − 3x + q is divisible by (x² − 1).

Find the values of a and b so that (x + 1) and (x − 1) are factors of x⁴ + ax³ − 3x² + 2x + b.

If x³ + ax² − bx+ 10 is divisible by x² − 3x + 2, find the values of a and b.

If both x + 1 and x − 1 are factors of ax³ + x² − 2x + b, find the values of a and b.

What must be added to x³ − 3x² − 12x + 19 so that the result is exactly divisibly by x² + x - 6 ?

What must be subtracted from x³ − 6x² − 15x + 80 so that the result is exactly divisible by x² + x − 12?

What must be added to 3x³ + x² − 22x + 9 so that the result is exactly divisible by 3x² + 7x − 6?

3x³ − x² − 3x + 1

y³ − 7y + 6

x³ − 10x² − 53x − 42

y³ − 2y² − 29y − 42

2y³ − 5y² − 19y + 42

x³ + 13x² + 32x + 20

x³ − 3x² − 9x − 5