Câu 3 trang 59 vở bài tập Toán lớp 7 Tập 2:
a) (x2 – 2x + 1) : (x – 1)
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b) ( x3 + 2x2 + x ) : (x2 + x)
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c) ( –16x4 + 1) : (–4x2 + 1)
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d) ( –32x5 + 1) : ( –2x + 1)
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Lời giải:
a) ( x2 – 2x + 1 ) : ( x – 1 )
Vậy (x2 – 2x + 1) : ( x – 1 ) = x – 1.
b) ( x3 + 2x2 + x ) : ( x2 + x )
Vậy ( x3 + 2x2 + x ) : ( x2 + x ) = x + 1.
c) ( –16x4 + 1) : ( –4x2 + 1)
Vậy ( –16x4 + 1) : ( –4x2 + 1) = 4x2 + 1.
d) ( –32x5 + 1) : ( –2x + 1)
Vậy ( –32x5 + 1) : (–2x + 1) = 16x4 + 8x3 + 4x2 + 2x + 1.