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Answer:
p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)
Step-by-step explanation:
Here, the given function is
Now, the given root of the function is ( 3x +5)
Now, if ( 3 x + 5) = 0,
we get x = - 5/3
So, the zero of the given polynomial is x = -5/3
Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)
Now, let us find the value of function at x = -5/3
Substitute x = -5/3 in the given function p(x), we get:
Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)