1. Standard form of polynomial of `y^5-y^2+3y^6-7y-y^8`Solution:`y^5-y^2+3y^6-7y-y^8`
The standard form of a polynomial means arranging its terms in the descending order of their exponents (power of the variables)
The Given Polynomial `=y^5-y^2+3y^6-7y-y^8`
Descending order is basically when its terms are arranged in order from largest degree to smallest degree
Descending order of polynomial `= -y^8+3y^6+y^5-y^2-7y`
Standard form of `y^5-y^2+3y^6-7y-y^8` is `-y^8+3y^6+y^5-y^2-7y`
2. Standard form of polynomial of `x^2-10x+12-3x^2+x^5-5x^4+x^2`Solution:`x^2-10x+12-3x^2+x^5-5x^4+x^2`
The standard form of a polynomial means arranging its terms in the descending order of their exponents (power of the variables)
The Given Polynomial `=x^2-10x+12-3x^2+x^5-5x^4+x^2`
Descending order is basically when its terms are arranged in order from largest degree to smallest degree
Descending order of polynomial `= x^5-5x^4-x^2-10x+12`
Standard form of `x^2-10x+12-3x^2+x^5-5x^4+x^2` is `x^5-5x^4-x^2-10x+12`
This material is intended as a summary. Use your textbook for detail explanation.
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