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Find the zero of polynomial in (a) p(x)=x−2 (b) p(x)=3x+2?
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Find the zero of polynomial in (a) p(x)=x−2 (b) p(x)=3x+2?
Finding the Zero of Polynomial p(x) = x - 2
To find the zero of the polynomial \( p(x) = x - 2 \), we need to solve the equation \( p(x) = 0 \).
  • Step 1: Set the polynomial equal to zero
  • Start with the equation: \( x - 2 = 0 \)
  • Step 2: Solve for x
  • Add 2 to both sides: \( x = 2 \)
  • Conclusion
  • The zero of the polynomial \( p(x) = x - 2 \) is \( x = 2 \).


Finding the Zero of Polynomial p(x) = 3x + 2
Next, we will find the zero of the polynomial \( p(x) = 3x + 2 \) by following a similar process.
  • Step 1: Set the polynomial equal to zero
  • The equation becomes: \( 3x + 2 = 0 \)
  • Step 2: Solve for x
  • Subtract 2 from both sides: \( 3x = -2 \)
  • Now, divide both sides by 3: \( x = -\frac{2}{3} \)
  • Conclusion
  • The zero of the polynomial \( p(x) = 3x + 2 \) is \( x = -\frac{2}{3} \).


In summary, the zeros of the given polynomials are:
- For \( p(x) = x - 2 \): \( x = 2 \)
- For \( p(x) = 3x + 2 \): \( x = -\frac{2}{3} \)
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Find the zero of polynomial in (a) p(x)=x−2 (b) p(x)=3x+2?
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