Question

find the value of k if (x³+20x+5k) is divisible by(x+5)
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Answer 1

x+5=0

x = -5

p(x)= x³+20x+5k

p(-5)= (-5)³+20(-5)+5k=0

=> -125-100+5k=0

=> -225+5k=0

=> 5k= 225

=> k=225/5

=> k=45

Answer 2

Answer:

Hi mate....

Step-by-step explanation:

Given

if x+5 is a factor of p(x) =x3-20x+5k,then k is

To find

Find the value of k

Solution

=> x + 5 = 0

=> x = -5

P(x) = x³ - 20x + 5k

=> x³ - 20x + 5k = 0

=> (-5)³ - 20 × (-5) + 5k = 0

=> -125 + 100 + 5k = 0

=> 5k = 25

=> k = 25/5 = 5