Evaluate
5x^{4}+28x^{3}-21x^{2}-158x+31
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5x^{4}+28x^{3}-21x^{2}-158x+31
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Quiz
Polynomial
( x ^ { 2 } + 5 x - 1 ) ^ { 2 } + ( x - 3 ) ( 2 ) ( x ^ { 2 } + 5 x - 1 ) ( 2 x + 5 )
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x^{4}+10x^{3}+23x^{2}-10x+1+\left(x-3\right)\times 2\left(x^{2}+5x-1\right)\left(2x+5\right)
Square x^{2}+5x-1.
x^{4}+10x^{3}+23x^{2}-10x+1+\left(2x-6\right)\left(x^{2}+5x-1\right)\left(2x+5\right)
Use the distributive property to multiply x-3 by 2.
x^{4}+10x^{3}+23x^{2}-10x+1+\left(2x^{3}+4x^{2}-32x+6\right)\left(2x+5\right)
Use the distributive property to multiply 2x-6 by x^{2}+5x-1 and combine like terms.
x^{4}+10x^{3}+23x^{2}-10x+1+4x^{4}+18x^{3}-44x^{2}-148x+30
Use the distributive property to multiply 2x^{3}+4x^{2}-32x+6 by 2x+5 and combine like terms.
5x^{4}+10x^{3}+23x^{2}-10x+1+18x^{3}-44x^{2}-148x+30
Combine x^{4} and 4x^{4} to get 5x^{4}.
5x^{4}+28x^{3}+23x^{2}-10x+1-44x^{2}-148x+30
Combine 10x^{3} and 18x^{3} to get 28x^{3}.
5x^{4}+28x^{3}-21x^{2}-10x+1-148x+30
Combine 23x^{2} and -44x^{2} to get -21x^{2}.
5x^{4}+28x^{3}-21x^{2}-158x+1+30
Combine -10x and -148x to get -158x.
5x^{4}+28x^{3}-21x^{2}-158x+31
Add 1 and 30 to get 31.
x^{4}+10x^{3}+23x^{2}-10x+1+\left(x-3\right)\times 2\left(x^{2}+5x-1\right)\left(2x+5\right)
Square x^{2}+5x-1.
x^{4}+10x^{3}+23x^{2}-10x+1+\left(2x-6\right)\left(x^{2}+5x-1\right)\left(2x+5\right)
Use the distributive property to multiply x-3 by 2.
x^{4}+10x^{3}+23x^{2}-10x+1+\left(2x^{3}+4x^{2}-32x+6\right)\left(2x+5\right)
Use the distributive property to multiply 2x-6 by x^{2}+5x-1 and combine like terms.
x^{4}+10x^{3}+23x^{2}-10x+1+4x^{4}+18x^{3}-44x^{2}-148x+30
Use the distributive property to multiply 2x^{3}+4x^{2}-32x+6 by 2x+5 and combine like terms.
5x^{4}+10x^{3}+23x^{2}-10x+1+18x^{3}-44x^{2}-148x+30
Combine x^{4} and 4x^{4} to get 5x^{4}.
5x^{4}+28x^{3}+23x^{2}-10x+1-44x^{2}-148x+30
Combine 10x^{3} and 18x^{3} to get 28x^{3}.
5x^{4}+28x^{3}-21x^{2}-10x+1-148x+30
Combine 23x^{2} and -44x^{2} to get -21x^{2}.
5x^{4}+28x^{3}-21x^{2}-158x+1+30
Combine -10x and -148x to get -158x.
5x^{4}+28x^{3}-21x^{2}-158x+31
Add 1 and 30 to get 31.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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