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<=> 3x(2x+3)-9(2x+3)=0
<=> (2x+3)(3x-9)=0
<=> 2x+3=0 => x=-3/2
Và: 3x-9=0 => 3x=9=32 => x=2
Đs: x=-3/2 và x=2
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( fx) + g(x) + (f(x) - g(x) = 6x^4 - 3x^2 - 5 + 4x^4 - 6x^3 + 7x^2 + 8x - 9
= 10x^4 + 4x^2 + 8x - 14
=> 2fx = 2 ( 5x^4 + 2 x^2 + 4x - 7)
=> f(x) = 5x^4 + 2x^2 + 4x - 7
Tính tiếp g(x) nha
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Theo bài ra, ta có: \(2x-1⋮x-1\)
\(\Rightarrow2\left(x-1\right)+1⋮x-1\)
\(\Rightarrow1⋮x-1\)
Vì \(x\in Z\Rightarrow x-1\inƯ\left(1\right)=\left\{\mp1\right\}\)
Ta có các trường hợp sau:
\(\orbr{\begin{cases}x-1=1\\x-1=-1\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=0\end{cases}}}\)
Vậy \(x\in\left\{2;0\right\}\)
2x-1 chia hết cho x-1
=>2x-2+1 chia hết cho x-1
=>2(x-1)+1 chia hết cho x-1
mà 2(x-1) chia hết cho x-1
=>1 chia hết cho x-1 => x-1 thuộc Ư(1) thuộc {1;-1} => x thuộc {2;0}
Vậy x thuộc {2;0}
Chúc bạn học tốt ^^!!!
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\(f\left(x\right)+g\left(x\right)=6x^4-3x^2-5\)
\(f\left(x\right)-g\left(x\right)=4x^4-6x^3+7x^2+8x-9\)
suy ra: \(\left[f\left(x\right)+g\left(x\right)\right]+\left[f\left(x\right)-g\left(x\right)\right]=6x^4-3x^2-5+4x^4-6x^3+7x^2+8x-9\)
\(\Leftrightarrow\)\(2f\left(x\right)=10x^4-6x^3+4x^2+8x-14\)
\(\Rightarrow\)\(f\left(x\right)=5x^4-3x^3+2x^2+4x-7\)
\(g\left(x\right)=6x^4-3x^2-5-f\left(x\right)\)
\(=x^4+3x^3-5x^2-4x+2\)
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a) \(A=\)\(x^4\)\(+4x^3\)\(+2x^2\)\(+x\)\(-7\)
\(B=\)\(2x^4\)\(-4x^3\)\(-2x^2\)\(-5x\)\(+3\)
b) f(x)= A(x)+B(x)= \(3x^4-4x\)\(-4\)
g(x)=A(x)-B(x) = \(-x^4+8x^3+4x^2+6x\)\(-10\)
c) g(x)= \(0^4+8.0^3+4.0^2\)\(+6.0\)\(-10\)
= -10
g(-2)=\(-2^4+8.-2^3+4.-2^2+6.-2\)\(-10\)
=\(-54\)