Question

Give examples to justify the following statement: a) A zero of a polynomial need not be 0​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

We know that the zero of the polynomial is defined as any real value of x, for which the value of the polynomial becomes zero.

For example:

Let f(x)=−4x+7 be the polynomial.

To find the zero of the polynomial, we substitute f(x)=0 as shown below:

f(x)=−4x+7

⇒0=−4x+7

⇒4x=7

⇒x= 7/4

Therefore,

7/4

is the zero of the polynomial f(x)=−4x+7, which contradicts the statement that zero of a polynomial is always zero.

Hence, the zero of a polynomial is not always zero.

Therefore, the given statement is false.