Question

Check wheather 7+3x is a factor of 3xcube3 + 7x

Answer 1

Step-by-step explanation:

first let 3x^3 +7 be equal to f (x)

now lets use factor theorem for checking this

now val of x for that

7+3x = 0

3x= -7

x= -7/3

now if 7+3x is a factor of then f (-7/3) =0

so

f (-7/3) = 3 (-7/3) ^3+ 7 (-7/3)

= -343/9 + (- 49/3)

= (-343- 147) /9 = -490/9

now f (-7/3) is not equal to 0 so 7+3x is not a factor of f (x)

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