chung minh da thuc p(x) co it nhat 2 nghiem biet ; x.P(x+1)=(x-2)P(x)
cho da thuc p(x) thoa man : (x-2)p(x+5)=(x2-9)p(x+2). chung minh rang p co it nhat 3 nghiem
biet rang x.P(x)=(x^2-9).P(x).cmr da thuc P(x) co it nhat 3 nghiem
cho da thuc
(x+2020)*f(x)-(x-2021*f(x-1)=0
chung minh da thuc nay co it nhat 2 nghiem
a. Cho da thuc P(x) = mx^2 + 2mx - 3 co nghiem x = -1. Tim m
b. Cho da thuc P(x) = ax^2 + bx + c. Chung to rang \(P\left(-1\right)\cdot P\left(-2\right)\le0\) biet rang 5a - 3b + 2c = 0
Cho da thuc P(x)=2(x-3)2 +5
Chung minh rang da thuc da thuc da cho khong co nghiem
cmr da thuc P(x)co it nhat 2 nghiem: x.P(x+2)-(x+3)P(x-1)=0
tim da thuc f(x) roi tim nghiem cua f(x) biet rang:x^3+2x^2(4y-1)-4xy^2-9y^3-f(x)=-5x^3+8x^2y-4xy^2-9y^3
Cho 3 don thuc \(\frac{5}{3}x^2y^5z^3;\frac{-2}{5}x^3yzt^2;\frac{3}{7}x^{15}y^4z^2\)
Trong do cac bien x, y, z, t khac 0
Chung minh rang trong 3 don thuc da cho co it nhat 1 don thuc gia tri am.