Question

Find the highest degree of the polynomial (x + 1) (x – x – x + 1)
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Answer 1

Given : Polynomial (x+1)(x^2-x-x^4+1)To find : Degree of the polynomialSolution :To find the degree of polynomial we solve the polynomial so, the variable with highest power is the degree of the polynomial.(x+1)(x^2-x-x^4+1)=x(x^2-x-x^4+1)+1(x^2-x-x^4+1)=x^3-x^2-x^5+x+x^2-x-x^4+1=-x^5-x^4+x^3-x+1The variable x highest power is 5Therefore, The polynomial is of degree 5.

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