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Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent. a. Suppose f(x)=5x^(5)+17x^(2)+14x-6. Determine the leading term of f. b. Suppose g(x)=10x^(3)-13x^(4)+x-12. Determine the leading term of g. c. Suppose h(x)=9(x-5)(x+6)^(2). Determine the leading term of h. Box 1: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question Box 3: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent. a.Suppose f=5x+17x+14x6.Determine the leading term of f. Preview b.Suppose g=10x3-13x4+x12.Determine the leading term of g Preview c. Suppose h() = 9(x - 5(x +62. Determine the leading term of h. Preview Box 1:Enter your answer as an expression.Example:3x^2+1,x/5,a+b/c Be sure your variables match those in the question Box 2: Enter your answer as an expression.Example:3x^2+1,x/5, (a+b)/c Be sure your variables match those in the question Box 3:Enter your answer as an expression.Example:3x^2+1,x/5,(a+b)/c Be sure your variables match those in the question Submit

          Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent.
a. Suppose f(x)=5x^(5)+17x^(2)+14x-6. Determine the leading term of f.
b. Suppose g(x)=10x^(3)-13x^(4)+x-12. Determine the leading term of g.
c. Suppose h(x)=9(x-5)(x+6)^(2). Determine the leading term of h.
Box 1: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question
Box 2: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question
Box 3: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c)
Be sure your variables match those in the question
Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent. a.Suppose f=5x+17x+14x6.Determine the leading term of f.
Preview
b.Suppose g=10x3-13x4+x12.Determine the leading term of g
Preview
c. Suppose h() = 9(x - 5(x +62. Determine the leading term of h. Preview
Box 1:Enter your answer as an expression.Example:3x^2+1,x/5,a+b/c Be sure your variables match those in the question
Box 2: Enter your answer as an expression.Example:3x^2+1,x/5, (a+b)/c Be sure your variables match those in the question
Box 3:Enter your answer as an expression.Example:3x^2+1,x/5,(a+b)/c Be sure your variables match those in the question
Submit
        
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recall that the leading term of a polynomial is the entire term including coefficient containing the largest exponent a suppose fx5x517x214x 6 determine the leading term of f b suppose gx10x 53753

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent. a. Suppose f(x)=5x^(5)+17x^(2)+14x-6. Determine the leading term of f. b. Suppose g(x)=10x^(3)-13x^(4)+x-12. Determine the leading term of g. c. Suppose h(x)=9(x-5)(x+6)^(2). Determine the leading term of h. Box 1: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question Box 3: Enter your answer as an expression. Example: 3x^(^(^()))2+1,(x)/(5),(a+b)/(c) Be sure your variables match those in the question Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent. a.Suppose f=5x+17x+14x6.Determine the leading term of f. Preview b.Suppose g=10x3-13x4+x12.Determine the leading term of g Preview c. Suppose h() = 9(x - 5(x +62. Determine the leading term of h. Preview Box 1:Enter your answer as an expression.Example:3x^2+1,x/5,a+b/c Be sure your variables match those in the question Box 2: Enter your answer as an expression.Example:3x^2+1,x/5, (a+b)/c Be sure your variables match those in the question Box 3:Enter your answer as an expression.Example:3x^2+1,x/5,(a+b)/c Be sure your variables match those in the question Submit
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Transcript

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00:01 So here we have a product of binomials and we want to determine whether or not it's a polynomial.
00:06 So when looking at the exponents of t, notice that they are whole numbers.
00:10 They aren't rational or irrationals.
00:13 They have fractions or square roots.
00:15 So that tells us that this is going to be a polynomial.
00:18 So the degree is the largest exponent of t we're going to have, which is when we multiply that t to the 12th times t to the 8th.
00:26 So t to the 12th times t to the 8th is just t to the 20...
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