Question

x3 - 2x2- x + 2 is having q factor x+1

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Answer 1

Answer:

hey

Step-by-step explanation:

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Answer 2

Answer:

P=-1 and q=0

Step-by-step explanation:

Given that

(x+1)and(x+2) are two factors of cubic polynomial: x³+3x²-2px+q

Since it is a cubic Polynomial; let us assume its third factor be (x+k)

Hence we should have

(x+1)(x+2)(x+k)= x³+3x²-2px+q

On multiplying the factors on LHS and arranging the term of like power; we get

x³+x²(k+3)+x(3k+2)+2k= x³+3x²-2px+q

Comparing the coefficients

K+3=3→k=0

3k+2=-2p→2=-2p→p=-1

&

2k=q →q=0

Thus