check whether 7x+3 is a factor of 3x^+7x
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Yes, as we take x as a common term
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Answer:
step 1
put diviser =0
7+3x=0
3x=-1
x= -7/3
step 2
let p(x)=3x³+7x
putting x= -7/3
p(-7/3)=3(-7/3)³= 7(-7/3)
= -3(7³/3³) -49/3
=343/9 -49/3
= -343-49(3)/ 9
= -343 -147/9
= -590/9
thus reminder= p(-7/3)=-590/9
since remainder is not 0
thus 7+3x is not a factor 3x³+7x
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