Divide the polynomial p(x) by q(x) in each of the following cases and find the quotient
and remainder:
a) p(x) = 7x³ - 5x + 8 q(x) = x - ½
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Answer:
x
2
−x+1)
x
4
−3x
2
+4x+5
( x
2
+x−3
−
x
4
−
+
x
2
+
−
x
3
x
3
−4x
2
+4x+5
−
x
3
+
−
x
2
−
+
x
−3x
2
+3x+5
+
−
3x
2
−
+
3x
+
−
3
8
Hence, Quotient=x
2
+x−3
Remainder=8.
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