this question is very important from class 10 boards perspective.
kindly help with this
What should be subtracted from the polynomial of p(x)= x²-3ax + 3a- 7 so that, (x + 2) is a factor of the polynomial p(x) and hence also find the value of a
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Since x+2 is a factor of the polynomial p(x) for
x*2−3ax+3a−7
Therefore, by Factor theorem p(−2)=0
⇒(−2)
(-2)*2−3a(−2)+3a−7=0
⇒4+6a+3a−7=0
⇒a= -1