The table below represents a polynomial function. Use finite differences to determine the following: a) the degree of the function. f(x) -5 -36 b) the sign of the leading coefficient. -3 -12 -1 -2 1 c) the value of the leading coefficient. 4 18 6. 48 3.

Q: Determine the number of zeros of the polynomial function. f(x) = x³ + 6x2+ 1 %3D X zero(s) Need…

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Q: Determine the number of zeros of the polynomial function. f(x) = x³ + 6x2+ 1 -6 X zero(s) Need Help?…

A: The fundamental theorem of algebra states that : a polynomial of degree n has exactly n zeroes (real…

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A: Given, From the given graph we can observe that, Given graph is the five-degree polynomial and the…

Q: What are all the zeros of the polynomial function f(x) = 3x³ – 5.x² - 10x – 62 A x=±3 only B x = 3,…

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Q: Give the degree and leading coefficient of the following polynomial function. f (2) = 24 (4 – 4a3 –…

A: Degree and leading coefficients

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A: Use Standard equation of polynomial and put value and solve

Q: Use the graph to classify the polynomial function. Is it even, odd, or neither? SEE EXAMPLE 1 13.…

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Q: 5 Describe the right-hand and left-hand behavior of the graph of the polynomial functions. a) f(x) =…

A: a) f(x)=-4x3-5x+7 will behave like -4x3The degree is 3 (odd) and the leading coefficient=-4…

Q: B. Using the Leading Coefficient Test, sketch the graph of the following polynomial functions below.…

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Q: The polynomial function f(x) = ax° + bx² + cx + d is a polynomial, where a, b, c, and d are real…

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Q: Determine the number of zeros of the polynomial function. x) -x+3x+ 2 zero(s) Need Help? Read i…

A: Since we are  given with the multiple number of question and answered according to our guideline.

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial…

A: The given function is: fx=6x5+7x2-x+5

Q: 6. Discuss the similarities and the difference between the following two polynomial functions.…

A: To note the difference and similarities

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: It is given that the polynomial is of degree 3 and the zeroes are -4, -1, and 2.

Q: What are the zeros of the polynomial function graphed below? 8 3. -8 o {-6} o{-3, -1, 2} O {3, 1, 2}…

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Q: What are all the zeros of the polynomial function f(x) = 3x³ – 5x² – 10x – 62 A x = + 3 only B…

A: Given that fx=3x3-5x2-10x-6Solution:put x=3f3=333-532-103-6f3=81-45-30-6=0so, x-3 is a factor of fx

Q: 5. ƒ(x) = (x + 1)(x-6) and g(x) = 2(x + 1)(x–6). The graphs of each are shown. : YA 10 :5 1 2 3 4 56…

A: first derivative of the function f(x) equals to zero gives the value of the x, where the given…

Q: Consider the graph of the polynomial function. -10 -9 -8 -7 -6 - ! 2 3 $67 8 9 10 Which equation…

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Q: Give the degree and leading coefficient of the following polynomial function. f (2) = 25 (5 – 724 –…

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: What are the zeros of the polynomial function graphed below? 2 3 O {4, 8} o {-3, –1, 2} o {-6} о {3,…

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Q: ic is a zero of the polynomial P, then consider the following. (a) P(c) = ? v (b) x - c is a…

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Q: Following is the graph of a polynomial function. Give the possible values for the degree of the…

A: Given that,

Q: Determine algebraically the polynomial function that passes through the points below. -2 81 -1 30 7…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7. Explain why the graph of a quadratic polynomial can never have an inflection point. (HINT: Recall…

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Q: Use differences to determine the polynomial function for the given data: f(x) -5 -6 -1 3. 10 27 4)

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A: We have to find degree

Q: 6. Discuss the similarities and the difference between the following two polynomial functions.…

A: In the question we have to discuss the similarities between both curves.   NOTE - As per Bartleby's…

Q: Consider the following polynomial: ?(?)=(2?+1)(?−3)2f(x)=(2x+1)(x−3)2 a.  What is its end…

A: By using simple properties .

Q: the graph below of the polynomial fanction Ao a the following question 40 y 30 20 10 40-30-20-10 20…

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Q: What type of polynomial function is f(x) = (x + 2)(2x - 8)? A. Cubic Polynomial Function B.…

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Q: Determine the zeros and the vertical intercept of the polynomial function: f(x) = 3(x – 6) ( – 12)(r…

A: zero(s) of a function F(x) are the values of x where the value of the function, f(x) =0.…

Q: Analyze the polynomial function f(x)=x^3+2.56x^2−3.31x+0.89   Use the above information to draw a…

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Q: Determine the number of zeros of the polynomial function. g(x) = x^ - x5 zero(s) Need Help? Read It

A: g(x) = x⁴ - x⁵ = x⁴(1 - x)  So, if g(x) = 0 Then, x⁴ (1 - x) = 0

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial…

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Q: Warm-Up #1 Consider the polynomial function f(x) = 3x² + 8x – 4 a. Divide f by x – 2. Find f(2). b.…

A: We will perform the operations on the given polynomial

Q: Use the written statement to construct a polynomial function that represents the required…

A: Let's find.

Q: Give the degree and leading coefficient of the following polynomial function. f (2) = x4 (4 – 5æ³3…

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Q: Give the standard form of the polynomial function f(x) whose factors are (x-5)(x+2)

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Q: 2. Use differences to determine what type of polynomial function best represents the given data.…

A: By use of newton forward difference you can solve

Q: 5 Describe the right-hand and left-hand behavior of the graph of the polynomial functions. a) f(x) =…

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Q: What are the zeros of polynomial function f(x) = x* – 102² + 16? O (V2, 0), (/8, 0) O (-8, 0), (-2,…

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Q: Find a polynomial function with the zeros - 5, 0, 3, 1 whose graph passes through the point f(x) =…

A: Given,           A polynomial function with the zeros - 5, 0, 3, 1 whose graph passes through the…

Q: write the polnomial function that models the given situation  a rectangle has a length of 16 units…

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Q: An oil slick is expanding as a circle. The radius of the circle is increasing at the rate of 30…

A: Let ' d ' be the number of days.