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sweet-ann [11.9K]
2 years ago
5

Find the zeros of ply nomial x2-3 and verify the relation ship

Mathematics
1 answer:
UNO [17]2 years ago
6 0

Answer:

x=\pm \sqrt{3}

Step-by-step explanation:

Consider the given polynomial is

P(x)=x^2-3

We need to find the zeros of the given polynomial.

Now,

P(x)=0

x^2-3=0

Add 3 on both sides.

x^2=3

Taking square root on both sides.

x=\pm \sqrt{3}

Therefore, zeros of the polynomial P(x) are -\sqrt{3} \text{ and }\sqrt{3}.

To verify the relationship, put x=\sqrt{3} in P(x).

P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0

Put x=-\sqrt{3} in P(x).

P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0

Since P(x)=0 for both values, therefore relationship verified.

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