Question

verify whether 3 is the zero of the polynomial x²-3x-3=0 ​

Answer 1

x = 3

x^2 -3x -3 =0

(3)^2 -3(3) -3 =0

9 -9 -3 =0

-3 =0

hence it is not a zero of polynomial

Answer 2

Zeros of a Polynomial:

• The zeros or root of a Polynomial are those value of x for which the value of Polynomial becomes zero
• For Eg : x = 2 is a zero of ( x - 2)

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given a Quadratic Polynomial x² - 3x - 3 = 0

To Find:

• We have to verify that whether 3 is a zero of given Quadratic Polynomial or not

Solution:

We have been given that

$\sf{ f(x) = x^2 - 3x - 3 }$

To verify whether x = 3 is a zero of f(x) Polynomial or not we have to put x = 3 in the following given Polynomial

Putting x = 3 in f(x)

$\implies \sf{ f(3) = (3)^2 - 3 \times 3 - 3 }$

$\implies \sf{ 9 - 9 - 3 }$

$\implies \sf{ 9 - 12 }$

$\implies \sf{ -3 \neq 0 }$

$\sf{\red{Hence \: x = 3 \: is \: not \: a \: zero \: of \:Polynomial}}$

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