Question

Check whether 7+3x is a factor of 3x³ + 7x​

Answer 1

Answer:

No , 7+3x is not factor of 3x³+7x

Step-by-step explanation:

To find whether

f(x) = 7+ 3x

is a factor of

g(x) = 3x³ + 7x

find the value of x from f(x) and put to g(x) ,if expression becomes zero than f(x) is a factor of g(x),otherwise not

f(x) => 7+3x

3x+7=0

x= -7/3

g(x) = 3x³ + 7x

g(-7/3) = 3(-7/3)³ + 7(-7/3)

⇒ 3(-343/27) - 49/3

⇒ -343/9 -49/3

⇒-490/9

g(-7/3) is not zero,hence f(x) is not a factor of g(x)

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