Factor the GCF from the polynomial. 40w^11 + 16w^6

The answer to your question is       8w⁶(5w⁵ + 2)      

Step-by-step explanation:

Polynomial                    40w¹¹ + 16w⁶

Process

1.- Look for the common factor of coefficients

                    40    16    2

                     20     8   2

                     10      4   2

                       5     2   2

                       5     1    5       GCF = 2 x 2 x 2 = 8

                       1

2.- Get the GCF of w

The GCF of the variable is w⁶

3.- Get the result

                                     8w⁶(5w⁵ + 2)                                  

(a) 11.75%

(b) Profit decreases by $5.88 per calculator.

Step-by-step explanation:

(a) The percentage of failures with time is given by the following expression:

Integrating this function from x = 0 to x = 1 year, gives us the percentage of failures in the first year:

11.75% of the calculators will fail within the warranty period.

(b) If the cost of a calculator is $50, and the profit per sale is $25, the average revenue per calculator is $75. Considering no income in failed calculators, the new cost per calculator is:

The effect of warranty replacement on profit is given by the difference in cost per calculator:

Profit decreases by $5.88 per calculator.