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If the polynomials ax3 + 3x2 − 13 and 2x3 − 5x + a, when divided by (x − 2) leave the same remainder, find the value of a.
Concept: undefined >> undefined
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
Concept: undefined >> undefined
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Find the remainder when x3 + 3x2 + 3x + 1 is divided by \[x - \frac{1}{2}\].
Concept: undefined >> undefined
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
Concept: undefined >> undefined
Find the remainder when x3 + 3x2 + 3x + 1 is divided by \[x + \pi\] .
Concept: undefined >> undefined
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x .
Concept: undefined >> undefined
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the value of the following case, if R1 = R2.
Concept: undefined >> undefined
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the values of the following case, if R1 + R2 = 0.
Concept: undefined >> undefined
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the values of the following cases, if 2R1 − R2 = 0.
Concept: undefined >> undefined
In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7)
f(x) = x3 − 6x2 + 11x − 6; g(x) = x − 3
Concept: undefined >> undefined
f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5
Concept: undefined >> undefined
f(x) = x5 + 3x4 − x3 − 3x2 + 5x + 15, g(x) = x + 3
Concept: undefined >> undefined
f(x) = x3 −6x2 − 19x + 84, g(x) = x − 7
Concept: undefined >> undefined
f(x) = 3x3 + x2 − 20x +12, g(x) = 3x − 2
Concept: undefined >> undefined
f(x) = 2x3 − 9x2 + x + 12, g(x) = 3 − 2x
Concept: undefined >> undefined
f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 − 3x + 2
Concept: undefined >> undefined
Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
Concept: undefined >> undefined
Show that (x + 4) , (x − 3) and (x − 7) are factors of x3 − 6x2 − 19x + 84
Concept: undefined >> undefined
For what value of a is (x − 5) a factor of x3 − 3x2 + ax − 10?
Concept: undefined >> undefined
Find the value of a such that (x − 4) is a factors of 5x3 − 7x2 − ax − 28.
Concept: undefined >> undefined
