plz do this ... promise i will mark u as brainleist
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is your answer -3 and 3
Step-by-step explanation:the answer is in the attachment
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SOLUTION ☺️
Let f(x)= x^4 +px^3 + 2x^2 - 3x +q
Given,
=)f(x) is divisible by (x-1)(x+1)
=)f(1)= 0 or f(-1)= 0
When f(1) =0
=)(1)^4 p(1)^3 +2(1)^2 -3(1) +q =0
=) 1+ p +2 -3 +q = 0
=) p+ q= 0............(1)
When, f(-1) = 0
=) (-1)^4 +p(-1)^3 +2(-1)^2 -3(-1) +q=0
=) 1-p+ 2 +3 +q =0
=) -p +q= -6
=) p-q = 6..........(2)
Adding Equation (1) & (2), we get
=) 2p=6
=) p= 6/2= 3
=) p= 3
substitute the value of p in eq^n (1)
=) 3+q= 0
=) q= -3
Hence, p = 3 and q= -3
hope it helps ✔️
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