Math, asked by deekshakachhare, 1 year ago

find the values of p and q so that 1 and -2 are the zeroes of the polynomial x^3+10x^2+px+q

Answers

Answered by shpriyanshu

p(1)=1^3+10×1^2+p+q
p+q+11=0
p+q=-11......... eq (1)

again
p(-2)=(-2)^3+10×(-2)^2+2×p+q
0=-8+40+2p+q
2p+q=-32...... eq (2)

eq (1)-(2)

;p-2p=-11+32

;p=-21

put p=-21 in eq (1)

-21+q=-11

;q=-11+21

;q=10

q=10 and p=-21

is your answer
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