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f(-1) = (-1)^3 - (-1)*7 - 6 = -1 + 7 - 6 = 0
Hence f(x) = (x+1)(x^2 + ax - 6)
Expand this out
f(x) = x^3 + ax^2 - 6x + x^2 + ax - 6
= x^3 + (a+1)x^2 + (a-6)x -6
B...
Mathematical induction is a type of direct proof, where you can prove sequences or series. A good example of this is that we can prove 1 + 3 + 5 + .... + (2n-1) = n^2. There are 4 steps: 1. Prove the firs...
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Section 1: The object is moving away from its origin with a constant speed. There is no acceleration as demonstrated by the linear increase in displaceme...
The goal of this exercise is to rewrite the sentence by starting it with the word between parenthesis. To achieve that properly we will break down this sentence in several pieces. But first of all we will...
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