Chia đa thức
a, (2x^3-27x^2+115x-150):(x-5)
b, (12x^4+4x^3+9x+13):(3x-2)
tính:
a,\(\left(6x^3+3x^2+4x+2\right):\left(3x^2+2\right)\)
b,\(\left(2x^3-27x^2+115x-150\right):\left(x-5\right)\)
c,\(\left(12x^4+4x^3+9x+3\right):\left(3x-2\right)\)
a: \(=\dfrac{2x\left(3x^2+2\right)+3x^2+2}{3x^2+2}=2x+1\)
b: \(=\dfrac{2x^3-10x^2-17x^2+85x+30x-150}{x-5}=2x^2-17x+30\)
c: \(=\dfrac{12x^4-8x^3+12x^3-8x^2+8x^2-\dfrac{16}{3}x+\dfrac{43}{3}x-\dfrac{86}{9}+\dfrac{113}{9}}{3x-2}\)
\(=4x^3+4x^2+\dfrac{8}{3}x+\dfrac{43}{9}x+\dfrac{\dfrac{113}{9}}{3x-2}\)
tính:
a,\(\left(6x^3+3x^2+4x+2\right):\left(3x^2+2\right)\)
b,\(\left(2x^3-27x^2+115x-150\right):\left(x-5\right)\)
c,\(\left(12x^4+4x^3+9x+3\right):\left(3x-2\right)\)
a: \(=\dfrac{2x\left(3x^2+2\right)+3x^2+2}{3x^2+2}=2x+1\)
b: \(=\dfrac{2x^3-10x^2-17x^2+85x+30x-150}{x-5}=2x^2-17x+30\)
c: \(=\dfrac{12x^4-8x^3+12x^3-8x^2+8x^2-\dfrac{16}{3}x+\dfrac{43}{3}x-\dfrac{86}{9}+\dfrac{113}{9}}{3x-2}\)
\(=4x^3+4x^2+\dfrac{8}{3}x+\dfrac{43}{9}x+\dfrac{\dfrac{113}{9}}{3x-2}\)
tính:
a,\(\left(6x^3+3x^2+4x+2\right):\left(3x^2+2\right)\)
b,\(\left(2x^3-27x^2+115x-150\right):\left(x-5\right)\)
c,\(\left(12x^4+4x^3+9x+3\right):\left(3x-2\right)\)
a) (6x3 + 3x2 + 4x + 2) : (3x2 + 2)
b) (2x3 - 27x2 + 115x - 150) : (x - 5)
c) (12x4 + 4x3 + 9x + 3) : (3x - 2)
d) (x5 + 4x3 + 3x2 - 5x + 15) : (x3 - x + 3)
e) (3x5 - x4 - 2x3 + x2 + 5) : (x2 - 2x + 2)
g) (2x4 - 11x3 + 19x2 - 20x + 9) : (x2 - 4x + 1)
a/2x3-27x2+115x-150)(x-5)
b/(x5-9x4+26x3-15x227x+ 27):(x2-4x+3)
Đề:tính🌸
\(a,\left(2x^3-27x^2+115x-150\right)\left(x-5\right)\)
\(=x\left(2x^3-27x^2+115-150\right)-5\left(2x^3-27x^2+115-150\right)\)
\(=2x^4-27x^3+115x-150x-10x^3+135x^2-575+750\)
\(=2x^4-37x^3+135x^2-35x+175\)
a, \(\left(2x^3-27x^2+115x-150\right)\left(x-5\right)=2x^4-37x^3+250x^2-725x+750\)
b, đề sai
Chia đa thức một biến đã sắp xếp
Bài 1 : làm phép chia
b) ( 2x3 - 27x2 + 115x - 150 ) : ( x - 5 )
c) ( 12x4 + 4x3 + 9x + 3 ) : ( 3x - 2 )
d) ( x5 + 4x3 + 3x2 - 5x + 15 ) : ( x3 - x + 3 )
e) ( 2x2 + ax - 4 ) : ( x + 4 )
f) ( 3x3 + ax2 + bx + 9 ) : ( x2 - 9)
g) ( 2x3 - x2 + ax + b ) : ( x2 - 1 )
giúp mình với mình chia chưa xong nên nhờ các bạn chia giùm mình , mình cảm ơn các bạn (
b) (2x3 - 27x2 + 115x - 150) : (x - 5)
= (2x3 - 10x2 - 17x2 + 85x + 30x - 150) : (x - 5)
= [(2x3 - 10x2) - (17x2 - 85x) + (30x - 150)] : (x - 5)
= [2x2(x - 5) - 17x(x - 5) + 30(x - 5)] : (x - 5)
= (2x2 - 17x + 30)(x - 5) ;p (x - 5)
= 2x2 - 17x + 30
Thực hiện phép tính theo hàng ngang:
a) (6x3 + 3x2 + 4x + 2) : (3x2 + 2)
b) (2x3 - 27x2 + 115x - 150) : (x - 5)
c) (12x4 + 4x3 + 9x + 3) : (3x - 2)
d) (x5 + 4x3 + 3x2 - 5x + 15) : (x3 - x + 3)
e) (3x5 - x4 - 2x3 + x2 + 5) : (x2 - 2x + 2)
g) (2x4 - 11x3 + 19x2 - 20x + 9) : (x2 - 4x + 1)
a) \(\left(6x^3+3x^2+4x+2\right):\left(3x^2+2\right)\)
\(=\left[3x^2\left(2x+1\right)+2\left(2x+1\right)\right]⋮\left(3x^2+2\right)\)
\(=\left[\left(3x^2+2\right)\left(2x+1\right)\right]⋮\left(3x^2+2\right)\)
\(=2x+1\)
b) \(\left(2x^3-22x^2-5x^2+60x+55x-150\right):\left(x-5\right)\)
\(=\left[\left(2x^3-22x^2+60x\right)-\left(5x^2-55x+150\right)\right]:\left(x-5\right)\)
\(=\left[2x\left(x^2-11x+30\right)-5\left(x^2-11x+30\right)\right]:\left(x-5\right)\)
\(=\left[\left(2x-5\right)\left(x^2-11x+30\right)\right]:\left(x-5\right)\)
\(=\left[\left(2x-5\right)\left(x^2-5x-6x+30\right)\right]:\left(x-5\right)\)
\(=\left[\left(2x-5\right)\left(x-5\right)\left(x-6\right)\right]:\left(x-5\right)\)
\(=\left(2x-5\right)\left(x-6\right)\)
\(=2x^2-17x+30\)
d) \(\left(x^5+4x^3+3x^2-5x+15\right):\left(x^3-x+3\right)\)
\(=\left(x^5+5x^3+3x^2-x^3-5x+15\right):\left(x^3-x+3\right)\)
\(=\left[\left(x^5-x^3+3x^2\right)+\left(5x^3-5x^2+15\right)\right]:\left(x^3-x+3\right)\)
\(=\left[x^2\left(x^3-x+3\right)+5\left(x^3-x^2+3\right)\right]:\left(x^3-x+3\right)\)
\(=\left[\left(x^2+5\right)\left(x^3-x+3\right)\right]:\left(x^3-x+3\right)\)
\(=x^2+5\)
a.(x+1)^2-25
b. 1-4x^2
c. 8-27x^3
d. 27+27x+9x^2+x^3
e. 8x^3-12x^2y+6xy^2-y^3
f. x^3+8y^3
g. x^5-3X^4+3x^3-x^2
a: \(=\left(x+1+5\right)\left(x+1-5\right)=\left(x+6\right)\left(x-4\right)\)
b: =(1-2x)(1+2x)
c: \(=\left(2-3x\right)\left(4+6x+9x^2\right)\)
d: =(x+3)^3
e: \(=\left(2x-y\right)^3\)
f: =(x+2y)(x^2-2xy+4y^2)
giải pt:
a,\(\left(13-4x\right)\sqrt{2x-3}+\left(4x-3\right)\sqrt{5-2x}=2+8\sqrt{-4x^2+16x-15}\)
b,\(\left(9x-2\right)\sqrt{3x-1}+\left(10-9x\right)\sqrt{3-3x}-4\sqrt{-9x^2+12x-3}=4\)
c, \(\left(6x-5\right)\sqrt{x+1}-\left(6x+2\right)\sqrt{x-1}+4\sqrt{x^2-1}=4x-3\)