Question

If (x +6) is a factor of x2

–x + p, then the value of p is ________.

Answer 1

Step-by-step explanation:

For finding the remainder we need to use remainder theorem

Let p(x)=x

2

+px+3−p

As x+p is a factor of p(x), we need to equate it to 0 and put that value of x in p(x).

So, x+p=0

or, x=−p

As, −p is a zero of p(x), so,

p(−p)=(−p)

2

+p(−p)+3−p=0

⇒p

2

−p

2

+3−p=0

or, p=3

Answer 2

Answer:

if (x+6) is a factor of the polynomial,

x+6=0

[ x = -6 ]

Given polynomial ,

X2 -x +p

[ substitute x = -6 ]

so,

(-6)^2 -(-6) +p =0

36 +6 +p = 0

42 +p =0

[ p = -42 ]

Step-by-step explanation:

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