DIVIDING POLYNOMIALS BY MONOMIALS
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To divide a polynomial by a monomial, we can decompose the fraction into many fractions. Using the operations on exponents, we can simplify further.
Problem 1 :
Solution :
Problem 2 :
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Problem 3 :
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Problem 4 :
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Problem 5 :
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Problem 6 :
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Problem 7 :
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Problem 8 :
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Problem 9 :
Solution :
2a3b2 - 10ab3c2ab2= 2a3b22ab2 - 10ab3c2ab2= a2 - 5bc
Problem 10 :
xy3z - 4y2z + 6xyz - y3z yz
Solution :
xy3z - 4y2z + 6xyz - y3z yz= xy3zyz - 4y2zyz + 6xyzyz - y3zyz= xy2 - 4y + 6x - y2
Problem 11 :
12y3z6y3
Solution :
12y3z6y3= 2z
Problem 12 :
6ab4c- 3a3bc2 + 2a3bc - 4ab3c abc
Solution :
6ab4c- 3a3bc2 + 2a3bc - 4ab3c abc= 6ab4cabc - 3a3bc2abc + 2a3bcabc - 4ab3cabc= 6b3 - 3a2c + 2a2- 4b2
Problem 13 :
2r2s3t + 2s3t2 + rs4t3s2t
Solution :
2r2s3t + 2s3t2 + rs4t3s2t= 2r2s3ts2t + 2s3t2s2t + rs4t3s2t= 2r2s + 2st + rs2t2
Problem 14 :
2ax3 + 4bx2x
Solution :
2ax3 + 4bx2x= 2ax32x + 4bx2x= ax2 + 2b
Problem 15 :
8uv + 10uv2w - 8uvw2uv
Solution :
8uv + 10uv2w - 8uvw2uv= 8uv2uv + 10uv2w2uv - 8uvw2uv= 4 + 5vw - 4w
Problem 16 :
4xyz + 12xyz2- 6xy2 + 12x3yz 2xy
Solution :
4xyz + 12xyz2- 6xy2 + 12x3yz 2xy= 4xyz2xy + 12xyz22xy - 6xy22xy + 12x3yz2xy= 2z + 6z2 - 3y + 6x2z
Problem 17 :
5ax2+ 15a3x5ax
Solution :
5ax2+ 15a3x5ax= 5ax25ax + 15a3x5ax= x + 3a2
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