biet rang x.P(x)=(x^2-9).P(x).cmr da thuc P(x) co it nhat 3 nghiem
chung minh da thuc p(x) co it nhat 2 nghiem biet ; x.P(x+1)=(x-2)P(x)
cmr da thuc P(x)co it nhat 2 nghiem: x.P(x+2)-(x+3)P(x-1)=0
chung minh rang da thuc P(x) co it nhat 2 nghiem biet rang:
X*P(x+2)-(x-3)*P(x-1)=0
cho da thuc f(x) =2016x^4 -32(25k+2)x^2+ k^2-100 ( voi k la so thuc duong ). Biet da thuc co 3 nghiem phan biet a,b,c ( voi a<b<c). Tinh hieu a-c
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 f(x)=2016x4-32(25k+2)x2+k2-100(voi k la so thuc duong cho truoc).Biet da thuc f(x) co dung 3 nghiem phan biet a,b,c(voi a<b<c).Tinh hieu cua a-c.
Tim nghiem cua f(x) = (x-1)(x+3). Tim gia tri a,b cua g(x) = x3 - ax2 + bx -3. Biet nghiem cua f(x) cung la nghiem cua g(x)
Tim he so a cua da thuc M(x)= ax2 +5x -3 biet rang da thuc nay co 1 nghiem la 1/2