Find out whether 3y+1, is factor of 3y³+7y²+2y?
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Step-by-step explanation:
f(y)=3y³+7y²+2y
g(y)=3y+1
Zero of g(y) is -1/3
To check if it's a factor
y= -1/3
f(y)=3y³+7y²+2y
f(-1/3)=3(-1/3)³+7(-1/3)²+2(-1/3)
f(-1/3)= -1/9+7/9-2/3
f(-1/3)=0
Yes 3y+1 is a factor
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