Question

using long division method, show that the polynomial p(x)=3x³-5x²+10x-3 is divisible by q(x)=3x+1. verify your result using factor theorem​

Answer 1

Answer:-7

Step-by-step explanation: q(x)=3x+1=0

x=-1/3

p(-1/3)=3(-1/3)^3-5(-1/3)^2+10(-1/3)-3

=3 x -1/27-5 x 1/9 -10/3 - 3

=-1/9-5/9-10 x 3/3 x 3 -3

=-1-5-30 -3

       9

=-36/9 -3

=-4-3

-7

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Answer 2

Answer: -7

Step-by-step explanation:: q(x)=3x+1=0

x=-1/3

p(-1/3)=3(-1/3)^3-5(-1/3)^2+10(-1/3)-3

=3 x -1/27-5 x 1/9 -10/3 - 3

=-1/9-5/9-10 x 3/3 x 3 -3

=-1-5-30 -3

9

=-36/9 -3

=-4-3

-7