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Explanation:

We can use synthetic division.

The coefficients of are placed along the top, as shown in the image attachment I'm posting (see below). To the left of these three values, we have the test root 4. This is from n-4 = 0 solving to n = 4.

Follow the process of synthetic division to end up with the image attachment. We have the remainder 0 in the bottom right corner. Everything else in that bottom row will form a coefficient for the quotient, which in this case is 10n+3

If you were to multiply out (10n+3) and (n-4), you should get 10n^2-37n-12 again

(10n+3)(n-4)

10n(n-4) + 3(n-4)

10n^2-40n + 3n - 12

10n^2 - 37n - 12

The answer is confirmed.

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