Question

if x-1 is a factor of a polynomial 5x³-4x²+4-k​

Answer 1

Answer:

k = -3/2

Explanation:

p(x) = 5 x 3 + 4x² - 6x + 2k

x - 1 is a factor of p(x)

then, X-1 = 0

x=1

put x in p(x)

p(x) = 5x3 + 4x² - 6x + 2k

p(1) = 5(1)3 + 4(1)2 - 6(1) + 2k

= 5+ 4 - 6 + 2k

9 - 6 + 2k

3 + 2k

X-1 is a factor of p(x)

then p(x) = 0

so, 3+ 2k = 0

2k = -3

k = -3/2

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