Question

in p(x) = 5x power 7 - 6x power 5 + 7x- 6, what is the 1) coefficient of x power 5, 2) degree of p(x), 3) constant term. ​

Answer 1

Answer:

1) -6

2) 7

3) -6

Step-by-step explanation:

p(x) = 5x⁷ - 6x⁵ + 7x - 6

1) The coefficient of x⁵ is the number -6.  This is the number by which x⁵ is multiplied.

2) The degree of p(x) is 7.  This is the highest power of x that occurs (with a nonzero coefficient).

3) The constant term is -6.  Notice that p(x) = 5x⁷ - 6x⁵ + 7x¹ - 6x⁰, so this can also be thought of as the coefficient of x⁰ or the coefficient of 1.  This is the term that is constant in the sense that it does not change as x changes.

Answer 2

1. -6

2. 7

3. -6

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