check whether 7 + 3 X is a factor of 3 x cube + 7 x
Answers
Answered by
6
7+3x=0
3x=0-7
3x=-7/3
now
3x^3+7x
3×(-7/3)^3+7×(-7/3)
3 (-343/27)+(-49/3)
-1029/27-49/3
-1029-441/27
-490/8
there it is not the factor of given expression
3x=0-7
3x=-7/3
now
3x^3+7x
3×(-7/3)^3+7×(-7/3)
3 (-343/27)+(-49/3)
-1029/27-49/3
-1029-441/27
-490/8
there it is not the factor of given expression
Answered by
1
Answer:
p(−7
3
) = −490
9
≠ 0
∴7+3x is not a factor of 3x3+7x
Step-by-step explanation:
Solution : By factor theorem
7 + 3x = 0
3x = -7
x =
−7
3
p(−7
3
) = 3(
−7
3
)
3 + 7(−7
3
)
p(−7
3
) = 3(-
343
27
) + (−49
3
)
p(−7
3
) = −1029
27
-
49
3
p(−7
3
) = −1029−441
27
p(−7
3
) =−1470
27
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