Question

check whether 7+3x is a factor of 3x^3+7x

Answer 1

hii dear...
x(3x^2+7)
so
this is not factor of 3x^3+7x

Answer 2

$\bf \large \it \: Hey \: User!!! \:$

we have to find whether 7 + 3x is a factor of 3x³ + 7x

for that first we have to find the value of x, then we will put the value in p(x) = 3x³ + 7x

if remainder comes zero then g(x) = 7 + 3x is a factor of p(x)

given p(x) = 3x³ + 7x

g(x) = 7 + 3x
>> 7 + 3x = 0
>> 3x = -7
>> x = -7/3

on putting values :-

p(-7/3) = 3(-7/3)³ + 7(-7/3)
= (3 × -7/3 × -7/3 × -7/3) -49/3
= (-7/3 × -7/3 × -7) - 49/3
= -343/9 - 49/3
= -343/9 - 147/3
= -490/3

Remainder is not coming 0.

hence, g(x) is not a factor of p(x)

$\bf \large \it \: Cheers!!! \:$