Question

if x minus 2 is a factor of 2 x cube + 3 x square - 8 x + k then the value of k​

Answer 1

Answer:

k = - 36

Step-by-step explanation:

4 {x}^{3} + 3 {x}^{2} - 4x + k = 0

x - 2 = 0

x = 2

therefore substitute 2 in the equation

4 × {(2)}^{3} + 3 × {(2)}^{2} - 4 ×2 + k = 0

4 ×8 + 3 × 4 - 4 ×2 + k = 0

32 + 12 - 8 + k = 0

44 - 8 + k = 0

36 + k = 0

k = - 36\end{gathered}

4x 3+3x 2−4x+k=0

x−2=0

x=2

thereforesubstitute2intheequation

4×(2) ^3+3×(2) ^2 −4×2+k=0

4×8+3×4−4×2+k=0

32+12−8+k=0

44−8+k=0

36+k=0

k=−36

I hope it's helped you!!

Answer 2

Answer:

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Step-by-step explanation:

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