Math, asked by sarbkaur02, 11 months ago


2. Verify whether x=-1/2 is the zero of the polynomial g(x)=2x+x-1​

Answers

Answered by Anonymous
25

Answer:

Given:

We have been given a polynomial

g(x) = 2x^2 + x -1

To Verify:

We need to verify whether x = -1/2 is the zero of the given polynomial or not.

Solution:

We have been given a polynomial 2x^2 + x -1,

Inorder to verify is x = -1/2 its zero or not we need to substitute the value of x in 2x^2 + x -1.

We get,

2 × (-1/2)^2 + (-1/2) -1

=> 2 × 1/4 - 1/2 -1

=> 1/2 - 1/2 -1

=> 0 - 1

= -1

-1 is not equal to zero, hence -1/2 is not the zero of 2x^2 + x -1.

Answered by silentlover45
1

Answer:

\implies -1 is not equal to zero.

\implies -1/2 is not zero of 2x² + x - 1.

\large\underline\mathrm{Given:-}

  • We have been given a polynomial g(x) = 2x² + x - 1

\large\underline\mathrm{To \: find}

  • We need to verify x = -1/2 is the zero of the polynomial and not.

\large\underline\mathrm{Solution}

  • We have been a given polynomial 2x² + 2 - 1 = 0.
  • As a fact of x = -1/2.

Now, substitution the value of x in 2x² + x - 1

\implies 2x² + x - 1 = 0

\implies 2(-1/2)² + (-1/2) - 1 = 0

\implies 2(1/4) - 1/2 - 1 = 0

\implies 2 × 1/4 - 1/2 - 1 = 0

\implies 1/2 - 1/2 - 1 = 0

\implies -1 = 0

Thus, -1 is not equal to zero.

Hence, -1/2 is not zero of 2x² + x - 1.

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