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Coordinate Geometry

Question
CBSEENMA9001727
Wired Faculty App

Determine whether the indicated numbers are zeroes of the given polynomial?

g(x) = 3x2 - 2;    straight x equals fraction numerator 2 over denominator square root of 3 end fraction comma space minus fraction numerator 2 over denominator square root of 3 end fraction

Solution

We have
g(x) = 3x2 - 2
8 open parentheses fraction numerator 2 over denominator square root of 3 end fraction close parentheses equals 3 open parentheses fraction numerator 2 over denominator square root of 3 end fraction close parentheses squared minus 2 equals 2 not equal to 0
therefore space space space space straight x space equals space fraction numerator 2 over denominator square root of 3 end fraction is not a zero of 8(x)
8 open parentheses negative fraction numerator 2 over denominator square root of 3 end fraction close parentheses equals 3 open parentheses negative fraction numerator 2 over denominator square root of 3 end fraction close parentheses squared equals negative 2 not equal to 0
therefore space straight x equals space minus fraction numerator 2 over denominator square root of 3 end fraction is not a zero of 8(x).

Some More Questions From Coordinate Geometry Chapter

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x2 - 3x + 7

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

x10+ y3 + t50

Write the coefficients of x2 in each of the following:

2 + x2 + x

Write the coefficients of x2 in each of the following:
2 - x2 + x3

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