Question

find the values of p and q so that so that (x+1) and (x-1) are factor of the polynomial .
${x}^{4} + p {x}^{3} + 2 {x}^{2} - 3x + 2$
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Answer 1

Answer:

Answer

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

Answer 2

Answer:

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