If (x+2) is a factor of polynomial x^{3}-2x^{2}+kx+10 then the value of k will be?
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k = -3
Step-by-step explanation:
=》x + 2= 0
=》x = -2
=》p(x) = x³- 2x²+ kx + 10
=》p(-2) = (-2)³-2(-2)²+ k(-2) +10
=》p(-2) = -8 - 8 - 2k + 10
=》p(-2) = -6 - 2k = 0
=》p(-2) = -2k = 6
=》p(-2) = k = 6/-2
=》p(-2) = k = -3
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