The zero of the polynomial p(x) = 2x + 7 is
(a) \(\frac{2}{7}\)
(b) \(-\frac{2}{7}\)
(c) \(\frac{7}{2}\)
(d) \(-\frac{7}{2}\)
Answer (2)
The zero of the polynomial p ( x ) = 2 x + 7 is found by setting it to zero and solving for x . The solution yields x = − 2 7 , which corresponds to option (d). Therefore, the correct answer is (d) − 2 7 .
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To find the zero of the polynomial p ( x ) = 2 x + 7 , we need to determine the value of x that makes the polynomial equal to zero.
Here are the steps to find it:
Set the polynomial equal to zero: 2 x + 7 = 0
Solve for x :
To isolate x , we start by subtracting 7 from both sides of the equation:
2 x = − 7
Next, divide both sides by 2 to solve for [tex]x[/tex]:
\[x = -\frac{7}{2}\]
Thus, the zero of the polynomial p ( x ) = 2 x + 7 is x = − 2 7 . Therefore, the correct option is:
(d) − 2 7
