2. Determine the degree of each of the following polynomials:
(1) 2x-1
(ii) -10
cm - 9x + 3x
(iv) y (1 - y)
6. For the polynomial
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1
Answer:
1) 1
2) 0
3) 1
4) 2
Step-by-step explanation:
the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
For example: 6x^4 + 2x^3+ 3 is a polynomial. Here 6x4, 2x3, 3 are the terms where 6x4 is a leading term and 3 is a constant term. The coefficients of the polynomial are 6 and 2.
The degree of the polynomial 6x^4 + 2x^3+ 3 is 4.
Let’s take another example: 3x^8+ 4x^3 + 9x + 1
The degree of the polynomial 3x8+ 4x3 + 9x + 1 is 8.
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