Use synthetic division to find p(-3) for p(x)=x^4-4x+4 show your work

By the polynomial remainder theorem, the remainder of upon dividing by is equal to the value of .

Synthetic division yields

-3   |   1    0    0     -4     4

.      |       -3    9   -27   93

- - - - - - - - - - - - - - - - - - -

.      |   1   -3    9   -31    97

which translates to

Then when , the first term on the right side vanishes and we have .

Step-by-step explanation:

4(2x+3)-5y

=8x+12-5y

Sum means addition: 2x+3

Term: Term could be a single number , variable, or the product of both. we have 8x, 12,-5y

Product ( multiplication): we have 4(2x+3), 2 multiplied by x(2x), 5y

Factor(part of a product : factor of 8x=8, x, 2 and 4

Factor of -5y=-5 and y

Factor of 12=2,4,6

Quotient ( it is the result obtained by dividing one quantity by another)= Not present in the expression. The expression doesn't have a division

Coefficient : is a number which is in product with variable.

Coefficient of 8x=8

Coefficient of -5y=-5

Coefficient of 12=12