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x3 − 2x2 − x + 2
Concept: undefined >> undefined
Factorize of the following polynomials:
x3 + 13x2 + 31x − 45 given that x + 9 is a factor
Concept: undefined >> undefined
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Factorize of the following polynomials:
4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.
Concept: undefined >> undefined
x4 − 2x3 − 7x2 + 8x + 12
Concept: undefined >> undefined
x4 + 10x3 + 35x2 + 50x + 24
Concept: undefined >> undefined
2x4 − 7x3 − 13x2 + 63x − 45
Concept: undefined >> undefined
Define zero or root of a polynomial.
Concept: undefined >> undefined
If \[x = \frac{1}{2}\] is a zero of the polynomial f(x) = 8x3 + ax2 − 4x + 2, find the value of a.
Concept: undefined >> undefined
Write the remainder when the polynomialf(x) = x3 + x2 − 3x + 2 is divided by x + 1.
Concept: undefined >> undefined
Find the remainder when x3 + 4x2 + 4x − 3 is divided by x.
Concept: undefined >> undefined
If x + 1 is a factor of x3 + a, then write the value of a.
Concept: undefined >> undefined
If f(x) = x4 − 2x3 + 3x2 − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b
Concept: undefined >> undefined
Mark the correct alternative in each of the following:
If x − 2 is a factor of x2 + 3ax − 2a, then a =
Concept: undefined >> undefined
If x3 + 6x2 + 4x + k is exactly divisible by x + 2, then k =
Concept: undefined >> undefined
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
Concept: undefined >> undefined
If x140 + 2x151 + k is divisible by x + 1, then the value of k is
Concept: undefined >> undefined
If x + 2 is a factor of x2 + mx + 14, then m =
Concept: undefined >> undefined
If x − 3 is a factor of x2 − ax − 15, then a =
Concept: undefined >> undefined
If x51 + 51 is divided by x + 1, the remainder is
Concept: undefined >> undefined
If x + 1 is a factor of the polynomial 2x2 + kx, then k =
Concept: undefined >> undefined
