Question

What are the leading coefficient and degree of the polynomial? -10x^(2)+9x^(4)+7x-15x^(5)

          What are the leading coefficient and degree of the polynomial? -10x^(2)+9x^(4)+7x-15x^(5)
        

Added by Johnny J.

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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What are the leading coefficient and degree of the polynomial? -10x^(2)+9x^(4)+7x-15x^(5)
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Transcript

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00:01 In this problem, we're being asked to first find the degree for the given polynomial, and then we're going to need to find the leading coefficient as well.
00:08 So we're going to start by finding the degree.
00:11 Remember, the degree is the variable term with the highest exponent.
00:16 So let's go through each of our terms.
00:18 Where our first term 5 doesn't have a variable, which means it does, its exponent is just equal to 0, which is why we don't write it.
00:25 Now for the second term, negative x, when you don't see an exponent, it's an imagine every 1.
00:30 For the third term, x has an exponent of two, and for our last term, the exponent is three...
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