Question

if (x+1) is a factor of x^2+px+q and p+q=3, then find the value of p and q​

Answer 1

Answer:

(x-1)(x+2)=x^2+x-2

then divide

or

Step-by-step explanation:

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Answer 2

Answer:

p+q=3 __________1

p(x) = x² +px+q_____2 , x+1 =0 x= -1

p(-1) = 1² + p(-1) + q

= 1 -p +q

» q = p-1____________3

substituting the value of q in eq 1

p+(p-1) = 3

2p -1 = 3

2p= 3+1

p= 4/2 =2

substituting the value of p in eq 3

q = 2-1

= 1

so the value of p & q are 2 & 1 respectively