2) Let p(x) =-3(x-2)²(x+3)(x+1)³. 2a) Compute the y intercept of p. 2b) List the zeros of p and determine their multiplicity. 2c) Determine the end behavior of p.

Sketch the graph of f(x)=x24x+3. Identify the vertex and x-intercepts.

2. Let fx) = - 10 (x+ 2 )² (x – 3)(x + 2)*. Do not use your calculator until part d. a. List the factors and the x-intercepts (zeros) of f(x). In the right column, circle either touch or passthrough describing what the graph will do at each x-intercept. appearance at x-intercept touch pass-through factor x-intercept at x = ? touch pass-through touch pass-through b. What are the degree and the leading coefficient? degree: leading coefficient: c. What are the end behaviors (up or down)? left end: right end: d. Now graph f(x) on your calculator. Adjust the window until you can see all of the features listed above. D Then, sketch the screen.

g(x)=2x^3+5x^2-28x-15 A) Determine real zero functions B) find x and y intercepts C) determine crosses or touches

Which rule in factored form describes the polynomial function represented by the graph shown below? f(x)=x³(x+4)²(x-4) B f(x)= x(x+4)²(x-4)³ C__ f(x) = x(x+4)³(x-4)² с D f(x) = x²(x+4)³(x-4) 8 400 300 200 100 -100 -200 -400

1 ) Write f(x) = x^5 + x^3 +2x^2 -12x +8 as the product of linear factors and list all the zeros of the function 2) Write f(x) = x^4 + 8x^2-9 as the product of linear factors and list all the zeros of the function 3) Write f(x) = x^2-2x +17 as the product of linear factors and list all the zeros of the function 4)Write f(x) = x^3 -3x^2 +x+5 as the product of linear factors and list all the zeros of the function   theyre just practice questions please help

Given the polynomial function ( f(x) = 2x^3 - 5x^2 + 3x + 1 ), . Sketch the general shape of the graph of the polynomial.

1)Determine the maximum and minimum value of this quadratic function using an algebraic method f(x)=x^2-8x+12 2) Determine the number of zeros by factoring f(x)=4x^2-2x

Write polynomial functions of minimal degree with the indicated properties.    a) integer coefficients; roots 3 (multiplicity 2) and -1 (multiplicity 3);  y-intercept 18 b) integer coefficients: roots 2, -2,  √2 and -3 ;  contains the point (1,24) c) integer coefficients; roots 1 and 2 + √3;  coefficient is x^3 is 1