Check whether 7+3X is a factor of 3X^3+7x
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Hi ,
____________________________
Factor Theorem:
Let p(x) be a polynomial of degree
one or more than 1 and a is a real
number. Then ,
i ) x- a , will be a factor of p( x ) if p( a ) = 0
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Let p( x ) = 3x^ 3 + 3x
The zero of 7 + 3x is ( - 7 / 3 ).
P( - 7 / 3 ) = 3 ( -7 / 3 )^3 + 3 ( - 7 / 3 )
= 3 × ( - 343 / 27 ) - 7
= - 343 / 9 - 7
= ( - 343 - 63 ) / 9
= - 406 / 9
Therefore ,
P( - 7 / 3 ) is not equals to zero .
7 + 3x is not a factor of p ( x ) .
I hope this helps you.
:)
____________________________
Factor Theorem:
Let p(x) be a polynomial of degree
one or more than 1 and a is a real
number. Then ,
i ) x- a , will be a factor of p( x ) if p( a ) = 0
________________________________
Let p( x ) = 3x^ 3 + 3x
The zero of 7 + 3x is ( - 7 / 3 ).
P( - 7 / 3 ) = 3 ( -7 / 3 )^3 + 3 ( - 7 / 3 )
= 3 × ( - 343 / 27 ) - 7
= - 343 / 9 - 7
= ( - 343 - 63 ) / 9
= - 406 / 9
Therefore ,
P( - 7 / 3 ) is not equals to zero .
7 + 3x is not a factor of p ( x ) .
I hope this helps you.
:)
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