Check whether 7+3x is a factor of 3 +7x
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Answered by
25
Now to check whether (7 + 3x) the polynomial is a factor of 3x³ + 7x, we prove that, f(−7/3) = 0, by using remainder theorem,
On putting x = -7/3 in eq 1,
f(−7/3) = 3(−7/3)³ +7 (−7/3)
f(−7/3) = 3(-343/27) – (49/3)
f(-7/3)= (-343/9) - (49/3)
f(-7/3) = (-343 × 3 − 49 × 9)/27
f(-7/3) = (-1029 - 441)/27
f(-7/3)=1470 /27
f(−7/3) = -490/9
Answered by
0
Step-by-step explanation:
Apply remainder theorem
7+3x=0
3x=−7 or x=
3
−7
Replace x=
3
−7
in the equation, we get
3x
3
+7x =3(
3
−7
)
3
+7(
3
−7
)
=3(
27
−343
)−
3
49
=
9
343
−
3
49
This value is not equal to zero then 7+3x is not a factor of
3x
3
+7x
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