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Explain the universal indicator.
- The universal indicator is used to know the strength of acid or base.
- Universal indicator is a mixture of several indicators.
- It is a pH indicator made of a solution of several compounds that exhibits several smooth colour changes over wide range pH values to indicate the acidity or alkalinity of solutions
- The universal indicator shows different colours at different concentrations of hydrogen ions in a solution.
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- Simplify and verify the result for $p=1$.$4 p^{3} \times 3 p^{4} \times( -p^{5})$"\n
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- Find the value of $p$ if \( 5 p+2=17 \).
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- Find the value of p for which the quadratic equation $(p + 1)x^2 - 6(p + 1)x + 3(p + 9) = 0, p ≠ -1$ has equal roots. Hence, find the roots of the equation.
- If p, q are real and p≠q, then show that the roots of the equation $(p-q)x^2+5(p+q)x-2(p-q)=0$ are real and unequal.
- Find \( p(0), p(1) \) and \( p(2) \) for each of the following polynomials:(i) \( p(y)=y^{2}-y+1 \)(ii) \( p(t)=2+t+2 t^{2}-t^{3} \)(iii) \( p(x)=x^{3} \)(iv) \( p(x)=(x-1)(x+1) \)
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