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Basic Algebraic Operations and Notations

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1. How do I find the vertex and intercepts of the function
f(x)=x^2+x-2 ?

2. Find the quotient and the remainder of
(x^4-2x^2+3)/(x+1)

3. How do I write the expression using exponent notation of square root 5z ?

4. How do I write the expression using radical notation, 7^-3/5 ?

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Solution Summary

There are four problems. Solution to first problem explians the steps to find out vertex and intercepts of given function. Solution to second problem depicts the methodology to divide two algebraic expressions. Solution to other problems shows writing of expressions in exponent and radical notations.

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Solution:

1. How do I find the vertex and intercepts of the function
f(x)=x^2+x-2

f(x)=x^2+x-2
Put y=f(x)

y=x^2+x-2
On adding +2 both sides, we get
y+2=x^2+x
Now add (1/4) both sides to ...

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  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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