(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: √x - 1)(√x + 1)   ^ is this a polynomial? pls explain

A:

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

A: We use binomial expansion.

Q: If an object is thrown directly from t seconds s (t) = -16t ^ 2 + 48t + 256 feet after t seconds.…

A: For maxima, [double derivative of  s(t)]<0.

Q: compute:  (3/5)^(n-2)x(10/9)^1-(n/2)

A: Please see the explanation below

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

A:

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) =…

A:

Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

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

Q: 4sin^(2)(x)-3=0

A:

Q: Divide the polynomials using synth (2x^(3)-22x^(2)+57x-7)-:(x-7)

A: Given  polynomial , 2x3-22x2+57x-7 Divide by x-7

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: Transform into standard the funct y=(x-1)^(2)+9

A: Given,  y=(x-1)^(2)+9

Q: Perform the indicated operations: (1 -1/x)(1 - 1/(x +1)(1 - 1/(x+2)(1 - 1/(x+3) ?

A: Given expression, 1-1x1-1x+11-1x+21-1x+3

Q: 6/x-1/x/x-1

A: Known fact:

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)

A:

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: Algebra (x-1/x)^7. find the 3 terms.

A:

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

A:

Q: Find the domain and range of the function f(x)=√12-3x^2

A:

Q: ∑5 (-2) ^ k -1 K=1

A: Given, ∑5-2k-1

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

Q: (x+5)^3/5=8

A: Use the power both sides 5/3

Polynomials

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