Question

using remainder theorem check whether 7+3x is a factor of 3x^3+7x

Answer 1

g(x) = 7 + 3x

P(x) = 3x^3 + 7x

P(-7/3) = 3 * (-7/3)^3 + 7 (-7/3)

P(-7/3) = 3*(-7)(-7)(-7) / 3 *3* 3 - 49/3

P(-7/3) = - 343/9 - 49/3

P(-7/3) = (-343 - 147) / 9

P(-7/3) = -490/9


Remainder is not equal to 0, So g(x) is not a factor of P(x)

Answer 2

Hi,

Please see the attached file!


Thanks