To find the value of 'm' for which x-2 is a factor of the polynomial x^4 - x^3 + 2x^2 - mx + 4, we can use the Factor Theorem. The Factor Theorem states that a polynomial f(x) has a factor (x-c) if and only if f(c) = 0.

Here, our factor is x-2, so we let x = 2.

Substitute x = 2 into the polynomial:

(2)^4 - (2)^3 + 2*(2)^2 - m*(2) + 4 = 0
16 - 8 + 8 - 2m + 4 = 0
20 - 2m = 0

Solving for 'm' gives:

2m = 20
m = 20 / 2
m = 10

So, the value of 'm' for which x – 2 is a factor of the polynomial x^4 – x^3 + 2x^2 – mx + 4 is 10. Therefore, the correct answer is (a) 10.

Question

To find the value of 'm' for which x-2 is a factor of the polynomial x^4 - x^3 + 2x^2 - mx + 4, we can use the Factor Theorem. The Factor Theorem states that a polynomial f(x) has a factor (x-c) if and only if f(c) = 0.

Here, our factor is x-2, so we let x = 2.

Substitute x = 2 into the polynomial:

(2)^4 - (2)^3 + 2*(2)^2 - m*(2) + 4 = 0
16 - 8 + 8 - 2m + 4 = 0
20 - 2m = 0

Solving for 'm' gives:

2m = 20
m = 20 / 2
m = 10

So, the value of 'm' for which x – 2 is a factor of the polynomial x^4 – x^3 + 2x^2 – mx + 4 is 10. Therefore, the correct answer is (a) 10.

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To find the value of 'm' for which x-2 is a factor of the polynomial x^4 - x^3 + 2x^2 - mx + 4, we can use the Factor Theorem. The Factor Theorem states that a polynomial f(x) has a factor (x-c) if and only if f(c) = 0.

Here, our factor is x-2, so we let x = 2.

Substitute x = 2 into the polynomial:

(2)^4 - (2)^3 + 2*(2)^2 - m*(2) + 4 = 0
16 - 8 + 8 - 2m + 4 = 0
20 - 2m = 0

Solving for 'm' gives:

2m = 20
m = 20 / 2
m = 10

So, the value of 'm' for which x – 2 is a factor of the polynomial x^4 – x^3 + 2x^2 – mx + 4 is 10. Therefore, the correct answer is (a) 10.

The value of m for which x – 2 is a factor of the polynomial x4 – x3 + 2x2 – mx + 4 is :-a.10b.- 10c.4d.9

Question

The value of m for which $x - 2$ is a factor of the polynomial $x^4 - x^3 + 2x^2 - mx + 4$ is :-

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