Question

find the value of k if x minus k a is a factor of polynomial x ki power 3 minus x square + X + 2​

Answer 1

Answer:

i don't know this answer

Step-by-step explanation:

sorry

Answer 2

Answer:

The value of k is -36

Solution:

Given that,

4x^3 + 3x^2 - 4x + k4x

3

+3x

2

−4x+k

Let,

f(x) = 4x^3 + 3x^2 - 4x + kf(x)=4x

3

+3x

2

−4x+k

Also,

x - 2 is a factor

By factor theorem,

x - k is a factor of the polynomial f(x) if and only if f(k) = 0

Therefore,

x - 2 = 0

x = 2

Substitute x = 2 in given,

f(x) = 0f(x)=0

\begin{gathered}4x^3 + 3x^2 - 4x + k = 0\\\\4(2)^3 + 3(2)^2 - 4(2) + k = 0\\\\4 \times 8 + 3 \times 4 - 8 + k = 0\\\\32 + 12-8 + k = 0\\\\32 + 4 + k = 0\\\\k + 36 = 0\\\\k = -36\end{gathered}

4x

3

+3x

2

−4x+k=0

4(2)

3

+3(2)

2

−4(2)+k=0

4×8+3×4−8+k=0

32+12−8+k=0

32+4+k=0

k+36=0

k=−36

Thus the value of k is -36

Learn more:

Find the value of k,if x-2 is a factor of p (x)=x2+kx+2k.

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Find the value of k if x minus 2 is a factor of polynomial x cube minus k x square + 12