Question

Find the value of K if (x-2) is a factor of x³+2x²-Kx+10. Hence determine whether (x+5) is also a factor.​

Answer 1

Answer:

Here, p(x) = x3 + 2x2 - kx + 10

For (x - 2) to be the factor of p(x) = x3 + 2x2 -kx + 10, p(2) = 0

Thus, (2)3 + 2(2)2 -k(2) + 10 = 0

8 + 8 - 2k + 10 = 0

k = 13

Thus p(x) becomes x3 + 2x2 - 13x + 10

Now, (x + 5) would be the factor of p(x) iff p(-5) = 0

p(-5) = (-5)3 + 2(-5)2 - 13(-5) + 10

       = -125 + 50 + 65 + 10

       = 0

So, (x + 5) is also a factor of p(x) = x3 + 2x2 - 13x + 10.

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Answer 2

Answer:

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Step-by-step explanation:

 in physics, motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time