Question

[✎﹏Kim Kim✧❤‿✶🌈(*•.¸♡ţęąɱ ƒŗęę ƒįŗę...]

Tìm n thuộc N để mỗi phép chia sau là phép chia hết

a)\(35x^9y^n:\left(-7x^7y^2\right)\)

b)\(\left(5x^3-7x^2+x\right):3x^n\)

c)\(\left(13x^4y^3-5x^3y^3+6x^2y^2\right):5x^ny^n\)

Answer 1

[Nguyễn Đức Trí]

a) \(35x^9y^n=5.\left(7x^9y^n\right)\)

Để \(35x^9y^n⋮\left(-7x^7y^2\right)\)

\(\Rightarrow n\in\left\{0;1;2\right\}\)

Answer 2

[Nguyễn Đức Trí]

b) \(5x^3-7x^2+x=3x\left(\dfrac{5}{3}x^2-\dfrac{7}{3}x+\dfrac{1}{3}\right)\)

Để \(\left(5x^3-7x^2+x\right)⋮3x^n\)

\(\Rightarrow3x\left(\dfrac{5}{3}x^2-\dfrac{7}{3}x+\dfrac{1}{3}\right)⋮3x^n\)

\(\Rightarrow n\in\left\{0;1\right\}\)