b: \(=x^4+x^2+36-2x^3+12x^2-12x+x^2-6x+9\)
\(=x^4-2x^3+14x^2-18x+45\)
\(=x^4+9x^2-2x^3-18x+5x^2+45\)
\(=\left(x^2+9\right)\left(x^2-2x+5\right)\)
d: \(=2x^4+2x^3+6x^2-x^3-x^2-3x+x^2+x+3\)
\(=\left(x^2+x+3\right)\left(2x^2-x+1\right)\)
e: \(=3x^4-3x^3-3x^2-2x^3+2x^2+2x+2x^2-2x-2\)
\(=\left(x^2-x-1\right)\left(3x^2-2x+1\right)\)
d) (5x+3) ( 4x-1) +(10x-7) (-2x+3) =27
e)(8x-5) (3x+2) -(12x+7) (2x-1)=17
f) (5x+9) (6x-1) -(2x-3)( 15z+1) = -190
g) 6x(5x+3) + 3x(1-10x) =7
h) (3x-3) (5 -21x) +(7x+4)(9x-5) =44\
i) (x+1)(x+2)(x-5)-x2 (x+8)=27
Bài 1: Giải phương trình sau:
a) \(\left|\frac{3x-6}{1-2x}\right|=x-2\)
b) \(\left|-2x+8\right|=\frac{x^2-6x+8}{x+3}\)
c) \(\frac{\left|x\right|-6}{x^2-36}=2\)
d) \(\frac{\left|x^2-4x+3\right|}{5x^2-7x+2}=x-3\)
e) \(\frac{-2x^2+7x-4}{\left|2x+1\right|}=4-x\)
f) \(\frac{\left|x^2+5x+4\right|}{x^2+3x+2}=x+4\)
a)x(x-5)=4x-20
b)4(x+6)-x\(^3-6x^2=0\)
c)x\(^3-5x^2+x-5=0\)
d)\(x^4-2x^3+10x^2-20x=0\)
e)\(\left(2x-3\right)^2=9\left(x-2^2\right)\)
Sử dụng lược đồ horner để phân tích các đa thức sau thành phân tử:
a) \(f\left(x\right)=x^3-6x^2+11x-6\)
b) \(f\left(x\right)x^3-19x-30\)
c) \(f\left(x\right)=x^3+4x^2+4x+3\)
d) \(f\left(x\right)=3x^4+5x^3-x^2-5x-2\)
1. 6x(x - 10) - 2x+20=0 6. 3x2 - 6x+3=0
2. 3x2(x - 3) + 3(3 - x)=0 7. 4x2 - 10x+2=0
3. x2 - 8x+16=2(x -4) 8. x2 - 12x -18=0
4. x2 - 16 + 7x ( x+4)=0 9. 3x2 - 10x+3=0
5. x2 - 13x - 14=0 10. 5x2 - 10x+10=0
bài 1 giải phương trình
\(\frac{3x+2}{3x-2}-\frac{6}{2+3x}=\frac{9x^2}{9x^2-4}\)
\(\frac{3}{5x-1}+\frac{3}{3-5x}=\frac{4}{\left(1-5x\right)\left(5x-3\right)}\)
\(\frac{3}{1-4x}=\frac{2}{4x+1}-\frac{8+6x}{16x^2-1}\)
\(\frac{5-x}{4x^2-8x}+\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
Chứng minh biểu thức sau không phụ thuộc vào giá trị của biến :
\(A=x.\left(5x-3\right)-x^2.\left(x-1\right)+x.\left(x^2-6x\right)-10+3x+x.\left(x^2+x+1\right)-x^2.\left(x+1\right)-x+5\)
\(B=3.\left(2x-1\right)-5.\left(x-3\right)+6.\left(3x-4\right)-19x+x.\left(3x+12\right)-\left(7x-20\right)+x^2.\left(2x-3\right)-x.\left(2x^2+5\right)\)
Phân tích đa thức thành nhân tử
a, (6x+5)2 (3x+2)(x+1) - 35
b, 8(4x+1)(2x-3)(4x-3)(x+1) - 130
c, (4x+1)(2x-1)(3x+2)(x+1) - 4
d, (x+2)(x+3)2(x+4) -12
e, ( x2 +5x+6) (x2 - 15x + 56) -144
g, (x2 - 11x +28) (x2 - 7x + 10) -72
Bài 1
a) 2x^3 + 5x^2 + 5x + 3
b) 4x^3 + x^2 + x - 3
c) 5x^3 - 12x^2 + 14x - 4
d) 6x^3 - 7x^2 + 5x - 2
e) 3x^3 + 19x^2 + 4x - 12
