Question

Need help for the questions need help with b and c

Answer 1

b) No, it is not

c) x + 1 is a factor

Step-by-step explanation:

`b)\text{ }f(x)=x^3-7x^2+8x\text{ + 16}`

To determine if 10 is a function, we substitute x with 10 in the function:

`\begin{gathered} f(10)\text{ = 1}0^3-7(10)^2\text{ + 8(10) + 16} \\ f(10)\text{ = 1000-700+80+16} \\ f(10)\text{ = }396 \end{gathered}`

No, it isn't a . This is because f(10) is not equal to zero, it is not a zero o. It has a remanider of 396.

c) Using synthetic division:

for x + 1: to be a factor, x = -1

+1 1 0

The last number is equal to zero. This indicates the remainder is zero.

Hence, x + 1 is a factor of the function f(x)