6.1.1 Polynomials - Worksheet
Example 1: Identify the degree of each monomial. 1. − 7 x 2. 4 x 2 y 3
3. 13
4. m 3 n 2 p
Rewrite each polynomial in standard form. Then identify the leading coefficient, degree, and number of terms. Name the polynomial. 5. 4 x + 2 x 2 − 7 + x 3 6. 3 x 2 + 5 x − 4
7. 5 x 2 − 4 x 3
8. 4 x 4 + 8 x 2 + 1 − 3 x
Example 2: 9. The sum of the squares of the first n natural numbers is given by the polynomial function = + + n n n n ( ) . F 3 2
1 3
1 2
1 6
a . Evaluate F ( n ) for n = 5 and n = 10.
b . Describe what the values F (5) and F (10) represent.
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