Question

efetue as divisões de monomio por polinômio

A)(-45xd⁵) : (9d)

B)(12x⁵-8x³) : (2x²)

C)(30x²-20xy) : (-10x)

D)(12z-6z²-3z⁴) : (3z)

E)(20b²+15b+10ab-5a³) : (ab)
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Answer 1

Resposta:

A) $-5xd^4$

B) $6x^3-4x$

C) $3x+2y$

D) $4-2z-z^3$

E) $\frac{20b+15}{a}-\frac{5a^2}{b}+10$

Explicação passo a passo:

A) $\frac{-45xd^5}{9d}=-5xd^4$

B) $\frac{12x^5-8x^3}{2x^2}=\frac{12x^5}{2x^2}-\frac{8x^3}{2x^2}=6x^3-4x$

C) $\frac{30x^2-20xy}{-10x}=\frac{30x^2}{-10x}-\frac{20xy}{-10x}=-3x-(-2y)=3x+2y$

D) $\frac{12z-6z^2-3z^4}{3z}=\frac{12z}{3z}-\frac{6z^2}{3z}-\frac{3z^4}{3z}=4-2z-z^3$

E) $\frac{20b^2+15b+10ab-5a^3}{ab}=\frac{20b^2}{ab} +\frac{15b}{ab} +\frac{10ab}{ab} -\frac{5a^3}{ab}= \frac{20b}{a}+\frac{15}{a}+10-\frac{5a^2}{b}=\frac{20b+15}{a}-\frac{5a^2}{b}+10$