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a) \(f\left(x\right)=2x^6+3x^2+5x^3-2x^2+4x^4-x^3+1-4x^3-x^4\)
\(f\left(x\right)=2x^6+\left(4-1\right)x^4+\left(5-1-4\right)x^3+\left(3-2\right)x^2+1\)
\(f\left(x\right)=2x^6+3x^4+x^2+1\)
b) \(2.1+3.1+1+1=7\)
c) \(\left\{{}\begin{matrix}x^6\ge0\\x^4\ge0\\x^2\ge0\end{matrix}\right.\) \(\Leftrightarrow2x^6+3x^4+x^2\ge0\Rightarrow2x^6+3x^4+x^2+1\ge1\)
=> f(x) >=1 => dpcm
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)=\(-2^4+8.-2^3+4.-2^2+6.-2\)\(-10\)
=\(-54\)
1/ a/ Thu gọn:
\(A=x^2+5x+4x^2-7+2x-\dfrac{9}{2}\)
\(=\left(x^2+4x^2\right)+\left(5x+2x\right)+\left(-7-\dfrac{9}{2}\right)\)
\(=5x^2+7x-11,5\)
\(B=2x^2+8-4x+3+5x\)
\(=2x^2+\left(5x-4x\right)+\left(8+3\right)\)
\(=2x^2+x+11\)
\(C=4x+3-5x^2+7\)
\(=-5x^2+4x+\left(3+7\right)=-5x^2+4x+10\)
b/ (mk lm 3 phép cơ bản nhé)
\(A+B=\left(5x^2+7x-11,5\right)+\left(2x^2+x+11\right)\)
\(=\left(5x^2+2x^2\right)+\left(7x+x\right)+\left(11-11,5\right)\)
\(=7x^2+8x-0,5\)
\(A-B=\left(5x^2+7x-11,5\right)-\left(2x^2+x+11\right)\)
\(=5x^2+7x-11,5-2x^2-x-11\)
\(=\left(5x^2-2x^2\right)+\left(7x-x\right)+\left(-11,5-11\right)\)
\(=3x^2+6x-22,5\)
\(A+B+C=\left(5x^2+7x-11,5\right)+\left(2x^2+x+11\right)+\left(-5x^2+4x+10\right)\)
\(=\left(5x^2+2x^2-5x^2\right)+\left(7x+x+4x\right)+\left(11+10-11,5\right)\)
\(=2x^2+12x+9,5\)
de ma de nhu an chao