Question

11. What is the remainder if x2- 7x - 4 is divided by x - 2? a. 4 b. -14 c. 2 d. -2

Answer 1

Solving for the Remainder with the Remainder Theorem

Answer:

$-14$

Step-by-step explanation:

Given:

$x^2 -7x -4$ divided by $x -2$.

Please refer to my Answer from this Questions to know more about the Remainder Theorem:

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Let $P(x) = x^2 -7x -4$ so that when we divide $P(x)$ by $x -\blue 2$ the remainder will be $P(\blue 2)$ according to the Remainder Theorem.

Solving for $P(2)$:

$P(\blue 2) = (\blue 2)^2 -7(\blue 2) -4 \\ P(\blue 2) = 4 -7(\blue 2) -4 \\ P(\blue 2) = 4 -14 -4 \\ P(\blue 2) = -14$

The remainder is $-14$.