PLEASE SOLVE 6 TO 10 WITH PROPER STEPS. THANKYOU.

Assignment # 1 ( Week 8 ) MATH 100 Name: Summer 2020 3.1 Polynomial Functions of Degree > 1 Score: 20 Marks and 3.2 Properties of Division 6. The table shows several value of the function f(x) =x + x -x + 1. Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) interval(s) where the function must have a zero. f ( x ) 3M I 7. Find the quotient and remainder of (x) = x - 14 divided by p(x) = x-2. 3 M 8. Find a polynomial with leading coefficient 1 and degree 3 that has -3, 2, and 3 as roots. 3M 9. The polynomial f(x) divided x - 3 results in a quotient of x+ 5x - 4 with a remainder of 6. Find A(3). 3M 10 b . For the following function, first find all values of such that f ( x ) > 0, then find all intervals of x such that f(x ) 0 : f( x)