Question

The zero of the polynomial f(x) = 2x+7 is​

Answer 1

put x=-7/2

Step-by-step explanation:

2x+7

2×-7/2+7

-7+7

0

Hence -7/3 is the zero of this polynomial.

Answer 2

Given,

A polynomial f(x) = 2x + 7.

To find,

The zero of the polynomial f(x) = 2x + 7.

Solution,

The Zeros of a polynomial can be defined as the points where the polynomial as a whole becomes zero. A polynomial having value as a final zero can be defined as a zero polynomial.

Mathematically it can be represented as,

f(x) = 0.

⇒  2x + 7 = 0.

+ 7 in Left Hand Side can be shifted to Right Hand Side and it sign would change from + 7 to -7.

Then, we would gate-

⇒  2x = -7

⇒   x = -7/2.

Hence, x = -7/2 is the zero of polynomial.

We can also verify by putting the value x = -7/2 in the function f(x).

⇒   f(x) = 2x + 7

⇒   f(-7/2) = 2(-7/2) + 7 = 0.