I hate to be that persom who doesn't answer and just says something, but i don't understand this question sorry.
Answer:
Dear user,
Answer to your query is provided below
The value of f(10) using synthetic division is 396.
Explanation:
Cubic polynomials cannot be factorized by splitting the middle term. Quadratic polynomials can be factorized by splitting the middle term.
A cubic polynomial can have a maximum of three linear factors. To factorize a cubic polynomial, we first find a factor by hit and trial method or using factor theorem and reduce it into the product of a quadratic polynomial and a linear polynomial. The quadratic polynomial can then be factorized in linear factors.
Finding the slope, you get [4-(-2)]/[-1-2]=6/-3 = -2
Plugging (2,-2) and -2 into the formula y=mx+b, you get that -2=-4+b.
Therefore, b=2, making the equation y = -2x+2