The remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1.
To solve the question above, we make use of the remainder theorem.
Remainder Theorem: It states that if a function F(x) is divided by (x-a), the remainder is F(a).
From the question,
Given:
- Dividend ⇒ p(x) = -2x⁵+x⁴+5x³+4x+1
- Divisor ⇒ (x-2)
in view of the above and applying the Remainder theorem, The remainder will be p(2)
- p(2) = -2(2⁵)+2⁴+5(2³)+4(2)+1
- p(2) = -64+16+40+8+1
- p(2) = 1
hence the remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1
Learn more about the remainder theorem here: brainly.com/question/13328536
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