4. Consider the polynomial f(x) = 1234(x + 5)2(x2 + 4)(x³ + 8). (a) What is the degree of f? How can you tell without fully expanding the factored form of the function and without graphing it? (b) Find the x-intercepts and multiplicities of f. (c) Without using a graphing utility, sketch an approximate graph of f that has the x-intercepts carefully labeled on the x-axis. (Note: it may not be possible to show all of these, and if it isn't, identify the ones it's not possible to show and explain why this is the case).

Q: Find the zeros of h(x) = −3x²(x + 5)³ (x − 8) 4. - Also, state whether each zero occurs at a touch…

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A: Use the given information and sketch the graph of the given function as follows.

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Q: A polynomial function P(x) is given by 5x^3+bx^2+cx+d and has zeros at the points (0,0) and (2,0).…

A: We can find value of b as follows

Q: axis

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Q: K degree and the leading coefficient. a) f(x) = 2x² 3x + 5 b) f(x) -3x³ + 2x² + 5x + 1 c) f(x) 5x3…

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Q: Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the…

A: Hence the required answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

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A: As you asked for multiple subpart according to our guideline we give only first three of them.…

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A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:…

Q: Graph the polym (d) Determin (e) Sketch the points in e

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Q: P(x) = -(x – 3)²(x + 1)²

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Q: Use the x-intercepts (don't forget the multiplicity), the end behavior, or any other properties of…

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Q: Why f(x) = - is not a polynomial function? %3D M 2х

A: In a polynomial function, exponent of the variable should not be fraction, radical or negative.

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A: INTRODUCTION The multiplicities of a function, or the number of times the function crosses the…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: