Question

Efetue as divisões de polinômios:

Answer 1

$a) (15x^{4}-3 x^{2}):x=(x).(15 x^{3}-3x):(x) \\ =15x^{3}-3x \\ b)(28x^{6} y^{4}-8x^{4}y^{4}+12 x^{2}y):4 x^{2}y \\ =(4 x^{2}y).(7x^{4}y^{3}-2x^{2} y^{3}+3):(4x^{2}y)=7x^{4}y^{3}-2 x^{2}y^{3}+3 \\c)(15a^{5}b^{4}c^{2}+6a^{3}b^{2}-3a^{2}b):(3a^{2}b) \\ =(3a^{2}b)(5a^{3}b^{3}c^{2}+2ab-1):(3a^{2}b)=5a^{3}b^{3}c^{2}+2ab-1 \\ d)(2a^{4}b^{2}-20a^{3}b^{2}-8ab):(2ab) \\ =(2ab)(2a^{3}b-10a^{2}b-4):(2ab)=2a^{3}-10a^{2}b-4$