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Mathematics

1 answer:

Cerrena [4.2K]2 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The Remainder theorem states that if f(x) is divided by (x - h) then

f(h) is the remainder, thus

division by (x - 1) then h = 1

f(1) = 4(1)³ - 7(1)² - 2(1) + 6

= 4 - 7 - 2 + 6 = 1 ← remainder

The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0

Here f(1) = 1

Hence (x - 1) is not a factor of f(x)

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Step-by-step explanation: