(i) Perform the polynomial division (4x' - 3x+ 6)+ (2x-1) and express the result in the form: dividend = divisor x quotient + remainder. (ii) Sketch the graph of the exponential function y =1-2 showing all the essential features. (iii) (a) Show that log,x =-log, x.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: g(x)=-1/5x^2-5x+7 What is the Leading Term of the Polynomial?

A: We know that the leading term is the term containing the highest power of the variable. Given…

Q: For an exponential fuction in the form f(×)=ab^×what does the value of a and b represent A. a…

A: In the question it is asked to write about variables a and b in function f(x)=abx.

Q: 2 / x + x ^ 3) ^ 16 any constant term?

A: We use binomial expansion.

Q: determine whether  the following numbers are roots of the polynomial equation P(x) = 0, P(x) =2x^3 -…

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Q: your work and your entire proce ivide: (10x^(4)-x^(3)+4x^(2)-2)/(2x-1)

A:

Q: Thre remainder when the function f(x)=x^3+4x^2-4x-16 is divided by x-2 is 0. Find all the other…

A: Given function is fx=x3+4x2-4x-16. It is given that when function fx=x3+4x2-4x-16 is divided by x-2…

Q: f(x)=x^3-7x^2-x+7 How do I multiply the factors to put the function into polynomial form?

A: We have to factor in the given polynomial.…

Q: Rearrange the f(x) =  2x^4-x^3-9x^2+4x+1 so that x is on the left-hand side of the equation.

A: The function: f(x) can be rearranged using basic algebraic operations.

Q: calculate the value of f(-3) for the function f(x)= -4x^2 b) How many roots does the function f(x) =…

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Q: Convert f(x)=(x-3)(X^2 -5x +6) into factored form

A:

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: for (x)=15x^4+10x^3-6x^2+14 show that (3) is equal to the remainder when you divide(x) by (x-3)

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Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: graph  F(x)= 2(x-4) ^3-128 and its inverse how to solve?

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Q: A drug was administered and the function is:  N(t) = 200(0.85)^(x-1), which represents the amount…

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Q: Explain what happens to the base function that went from   a(x) = x^2    d(x) = (x-2)^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: Solve for x. (8/x^2-25)-(2/x-5)=(1/2x+10)

A: Just make denominator of each side equal.

Q: f(x)=2(x+3)^(2)-6 write in standard form.

A: We know that the standard equation of the polynomial is f(x)=ax^2+bx+c

Q: f(x)=(x-5)^2-2 find the domain and range

A: Given,

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.