Question

For f(x) = x3 – 7x2 + 8x + 16, a. Find f(10) using synthetic division.

Answer 1

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.

Answer 2

The value of f(10) using synthetic division method is 396.

What is synthetic division?

"The synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division."

The given function is:

f(x) = x³ – 7x² + 8x + 16

Therefore using synthetic division, we get:

(10)    | (1)    (- 7)       (8)      (16)

        |         (10)      (30)    (380)

        |............................................

                                        (396)

Therefore, f(10) = 396.

Learn more about synthetic division here: https://brainly.com/question/13164931

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