Question

find the values of p and Q so that (x+1)and (x-1) are factors of polynomials x4 +px3+2x2-3x+Q ​

Answer 1

x^4+px^3 −3x^2+2x+2

If (x-1) & (x+1)are the factor λ

then they will satisfy if.

x-1 = 0, x+1 = 0

x = 1 & x = -1

Let x = 1 & x = -1

1+p−3+α+q=0

p+2=0 __ (1)

1−p−3−α+2=0

−p+q=4 __ (2)

add both

2q=4

q=2

p=−2

ii) x^3 −ax^2 −13x+b

if (x-1) & (x+3) are factor

then they will satisfied it.

put x = 1 & x = -3

1−a−13+b=0

−a+b=12 __ (1)

−27−9a+39+b=0

b=9a−12

Step-by-step explanation:

hope it helps you

Answer 2

Answer:

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