English Medium कक्षा ९ - CBSE Question Bank Solutions

f(x) = x⁵ + 3x⁴ − x³ − 3x² + 5x + 15, g(x) = x + 3

f(x) = x³ −6x² − 19x + 84, g(x) = x − 7

f(x) = 3x³ + x² − 20x +12, g(x) = 3x − 2

f(x) = 2x³ − 9x² + x + 12, g(x) = 3 − 2x

f(x) = x³ − 6x² + 11x − 6, g(x) = x² − 3x + 2

Show that (x − 2), (x + 3) and (x − 4) are factors of x³ − 3x² − 10x + 24.

Show that (x + 4) , (x − 3) and (x − 7) are factors of x³ − 6x² − 19x + 84

For what value of a is (x − 5) a factor of x³ − 3x² + ax − 10?

Find the value of a such that (x − 4)  is a factors of 5x³ − 7x² − ax − 28.

Find the value of a, if x + 2 is a factor of 4x⁴ + 2x³ − 3x² + 8x + 5a.

Find the value k if x − 3 is a factor of k²x³ − kx² + 3kx − k.

Find the values of a and b, if x² − 4 is a factor of ax⁴ + 2x³ − 3x² + bx − 4.

Find α and β, if x + 1 and x + 2 are factors of x³ + 3x² − 2αx + β.