Question

check whether 3 is the zero of polynomial .x^3+4x^2-2.​

Answer 1

Answer:

no it is not the zero of the polynomial

Step-by-step explanation:

3^3+4×3^2-2

27+36-2=61 which is not equal to 0

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Answer 2

Answer:

No

Note:

★ The possible values of the variable for which the polynomial becomes zero are called its zeros.

★ In order to find the zeros of any polynomial , equate it to zero .

Solution:

Here,

The given polynomial is ;

x³ + 4x² - 2 .

We need to check whether x = 3 is a zero of the given polynomial or not .

Also,

If the given polynomial becomes zero at x = 3 then we will say x = 3 is a zero of the given polynomial , otherwise no.

Thus,

Let's put x = 3 in the given polynomial.

At x = 3 ,

x³ + 4x² - 2 = (3)³ + 4(3)² - 2

= 27 + 36 - 2

= 61 ( ≠ 0 )

Since ,

At x = 3 the polynomial didn't become zero , thus x = 3 is not a zero of the given polynomial .