Math, asked by VinilM, 1 year ago

If x^3-5x^2-px+24=(x-4).q (x). what is the value of p

Answers

Answered by Anonymous
21
Substitute x = 4

4³ - 5(4²) - 4p + 24 = 0

64 - 80 - 4p + 24 = 0
p = 2

VinilM: but how 4?
Anonymous: in the question it is given right
Anonymous: to make rhs zero, substitute x = 4
VinilM: ok thanks got it.
Anonymous: hmm
Answered by harshu44
18
Hello Dear!!!

Here's your answer...

Let,

f(x) = x^3 - 5x^2 - px +24 = 0

Zero of x- 4 is

x - 4 = 0

x = 4

Substitute the value of x

x^3 - 5x^2 - px +24 = 0

(4)^3 - 5(4)^2 - p(4) + 24 = 0

64 - 80 - 4p + 24 = 0

8 - 4p = 0

4p = 8

p = 2

The value of p is 2

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Hope this helps you....
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