Question

value of p for which (x^2+3x+p) divisible by (x-2)is

Answer 1

X-2
X=2
2^2+3*2+p=0
4+6+p=0
P=-10

Answer 2

Hey there !!
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we have

r ( x ) = 0

➪ x - 2 = 0

here we can find x = 2

But we are given

p ( x ) = 0

➪ p ( x ) = x² + 3 x + p = 0 ....1 )

Now putting the value of x = 2 in equation ...1 )

so , ( 2 )² + 3 ( 2 ) + p = 0

➪ 4 + 6 + p = 0

➪ p = - 10


Hence the value of x = - 10

Hope this would help you !