find k if 3x+2 is a factor of p(x)=6x3+32x2+kx-10
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3x+2=0
3x=-2
x=-2/3
p(x)=6x³+32x²+kx-10
p(-2/3)= 6(-2/3)³+32(-2/3)²+k(-2/3)-10=0
=6(-8/27)+32(4/9)+k(-2/3)-10=0
=-48/27+128/9-2/3k-10=0
=-16/9+128/9-2/3k-10=0
=112/9-10-2/3k=0
=112-90/9-2/3k=0
=22/9-2/3k=0
=k=-22/9x3/2
=k=-11/3
Hence, the value of k is -11/3.
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