The polynomial f(x) = 4x³ + cx² − dx − 12 is divisible by x-2 and has a remainder of 45 when divided by x + 1. (i) Find the values of cand d. Find the factors of f(x). [Hint: Use long division] Hence, solve 4x³ + cx² - dx - 12 = 0 (ii) (iii)

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. The polynomial f(x) = 4x³ + cx² - dx - 12 is divisible by x-2 and has a remainder
of 45 when divided by x + 1.
Find the values of cand d.
Find the factors of f(x). [Hint: Use long division]
Hence, solve 4x³ + cx² - dx - 12 = 0
(i)
(ii)
(iii)
Transcribed Image Text:1. The polynomial f(x) = 4x³ + cx² - dx - 12 is divisible by x-2 and has a remainder of 45 when divided by x + 1. Find the values of cand d. Find the factors of f(x). [Hint: Use long division] Hence, solve 4x³ + cx² - dx - 12 = 0 (i) (ii) (iii)
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