Explanation
If $$p(x) = x^2 -2 \sqrt {2}x + 1$$, then $$p(2\sqrt 2)$$ is equal to
Degree of the polynomial $$4x^4 + 5x + 7$$, is
The value of the polynomial $$5x^3- 4x^2 + 3$$ when $$x = -1$$ is
Zero of the zero polynomial is:
If $$p(x) = x + 3$$, then $$p(3) + p(-3)$$, is equal to
We know, $$ 9.8 \times 10.2 = (10 -0.2) \times (10+0.2) $$ .Applying the formula $$ (a+b)(a-b) = { a }^{ 2 }-{ b }^{ 2 } $$, where $$ a = 10 , b = 0.2 $$,
we get,$$ 9.8 \times 10.2 = (10 -0.2) \times (10+0.2)=10^2-(0.2)^2 \\ =100-0.04=99.96 .$$
Therefore, option $$D$$ is correct.
We know, $$ 103 \times 97 = (100 + 3) \times (100 - 3) $$ .Applying the formula $$ (a+b)(a-b) = { a }^{ 2 }-{ b }^{ 2 } $$, where $$ a = 100 , b = 3 $$,
we get,$$ 103 \times 97 = (100 + 3) \times (100 - 3) = { 100 }^{ 2 }-{ 3 }^{ 2 } = 10000 - 9= 9991 $$.
Therefore, option $$B$$ is correct.
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