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Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Concept: undefined >> undefined
Find the value k if x − 3 is a factor of k2x3 − kx2 + 3kx − k.
Concept: undefined >> undefined
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Find the values of a and b, if x2 − 4 is a factor of ax4 + 2x3 − 3x2 + bx − 4.
Concept: undefined >> undefined
Find α and β, if x + 1 and x + 2 are factors of x3 + 3x2 − 2αx + β.
Concept: undefined >> undefined
If x − 2 is a factor of the following two polynomials, find the values of a in each case x3 − 2ax2 + ax − 1.
Concept: undefined >> undefined
If x − 2 is a factor of the following two polynomials, find the values of a in each case x5 − 3x4 − ax3 + 3ax2 + 2ax + 4.
Concept: undefined >> undefined
In the following two polynomials, find the value of a, if x − a is factor x6 − ax5 + x4 − ax3 + 3x − a + 2.
Concept: undefined >> undefined
In the following two polynomials, find the value of a, if x − a is factor (x5 − a2x3 + 2x + a + 1).
Concept: undefined >> undefined
In the following two polynomials, find the value of a, if x + a is a factor x3 + ax2 − 2x +a + 4.
Concept: undefined >> undefined
In the following two polynomials, find the value of a, if x + a is a factor x4 − a2x2 + 3x −a.
Concept: undefined >> undefined
Find the values of p and q so that x4 + px3 + 2x3 − 3x + q is divisible by (x2 − 1).
Concept: undefined >> undefined
Find the values of a and b so that (x + 1) and (x − 1) are factors of x4 + ax3 − 3x2 + 2x + b.
Concept: undefined >> undefined
If x3 + ax2 − bx+ 10 is divisible by x2 − 3x + 2, find the values of a and b.
Concept: undefined >> undefined
If both x + 1 and x − 1 are factors of ax3 + x2 − 2x + b, find the values of a and b.
Concept: undefined >> undefined
What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
Concept: undefined >> undefined
What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?
Concept: undefined >> undefined
What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x − 6?
Concept: undefined >> undefined
Using factor theorem, factorize each of the following polynomials:
x3 + 6x2 + 11x + 6
Concept: undefined >> undefined
