Question

please do this I will make sure that I mark you brainliest... Find k, if x-1 is a factor of
p(x) = x ki power 3 + 8x ki power 3 - kx - 2

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Answer 1

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Answer 2

Correct Question-

Find k , if x-1 is a factor of p(x) = x³+8x²-kx -2.

Answer-

x-1 is a factor that means f(1) = 0 by using factor theorem.

by putting the value of x = 1

f(1) = (1)³ +8(1)² -k(1)- 2

= 1+8-k-2

= 9-2 -k

= 7-k

according to factor theorem f(1) should be zero.

by equating -

7-k = 0

k = 7

therefore

${\pink{\boxed{ \therefore k = 7}}}$

Extra information-:

$\purple{Factor \:theorem}$ - x – a is a factor of the polynomial p(x), if p(a) = 0. Also, if x – a is a factor of p(x), then p(a) = 0, where a is any real number.