identify the roots and y - intercept of the function below. fill in the sign table and sketch a graph. your…

identify the roots and y - intercept of the function below. fill in the sign table and sketch a graph. your graph must accurately cross all known intercepts. $f(x)=(x + 5)(x + 2)^2(x - 1)(x - 3)$ identify the y - intercept of the function. 60 identify all real roots. use commas to separate.

identify the roots and y - intercept of the function below. fill in the sign table and sketch a graph. your graph must accurately cross all known intercepts. $f(x)=(x + 5)(x + 2)^2(x - 1)(x - 3)$ identify the y - intercept of the function. 60 identify all real roots. use commas to separate.

Answer

Explanation:

Step1: Recall root - finding method

Set (f(x)=0). Since (f(x)=(x + 5)(x + 2)^2(x - 1)(x - 3)=0), we use the zero - product property.

Step2: Solve for (x)

If (x+5 = 0), then (x=-5); if (x + 2=0), then (x=-2); if (x - 1=0), then (x = 1); if (x - 3=0), then (x=3). The root (x=-2) has multiplicity 2.

Answer:

(-5,-2,1,3)