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erma4kov [3.2K]
2 years ago
14

Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k​

Mathematics
1 answer:
Vesnalui [34]2 years ago
6 0

Answer:

The value of k is 14.

Step-by-step explanation:

(x - 2) is a factor of the polynomial

x - 2 = 0 \rightarrow x = 2

This means that p(2) = 0

p(x) = 2x² + 3x - k​

p(2) = 2(2)^2 + 3(2) - k

0 = 8 + 6 - k

14 - k = 0

k = 14

The value of k is 14.

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