If (x + 2) is a factor of x² + px + 2q and p + 9 = 4 then what are the valus p and q?
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Answer: q = -7 and p = -5
Step-by-step explanation: x +2 is factor of the polynomial, so x + 2= 0 and x = -2 So p(-2) = 0
Therefore we substitute x in the polynomial with -2, since x =-2
this gives us 4 - 2p + 2q= 0
it's given that p + 9 = 4, so p = -5
substituting that in the equation we get, 4 + 10 +2q = 0 therfore 2q = -14
which implies that q = -7
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