f x 1 4x 4 1 3x 3 1 2x 2 x 5 By Rational Root Theorem all rational roots of a polynomial are in the form frac p q where p divides the constant term 1 and q divides the leading coefficient 1 One such root is 1 Factor
The solve for x calculator allows you to enter your problem and solve the equation to see the result Solve in one variable or many Evaluate 1 4x4 1 3x3 x2 at each x value where the derivative is 0 or undefined Tap for more steps Free math problem solver answers your algebra geometry trigonometry calculus
f x 1 4x 4 1 3x 3 1 2x 2 x 5
f x 1 4x 4 1 3x 3 1 2x 2 x 5
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1 5x 3 3 3x 4 4 2x 9 3 0 2 X 4 6x 9x x 4 2 3 256rzrss
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3X 2Y
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Solve an equation inequality or a system Option 1 x 1 x 1 x 1 x 1 x loge 1 x Let 3 2x2 5 3x3 7 4x4
Divide 2x 4 3x 3 3x 2 by x 2 to get 2x 3 x 2 2x 1 To factor the result solve the equation where it equals to 0 By Rational Root Theorem all rational roots of a polynomial are What is the derivative of f x 2x 3 4 x2 x 1 5 f x 2x 3 3 x2 x 1 4 28x2 12x 7 we first notice a couple patterns 1 The function is a product of two terms
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All equations of the form ax 2 bx c 0 can be solved using the quadratic formula frac b sqrt b 2 4ac 2a The quadratic formula gives two solutions one when is addition and one Using the remainder theorem find the remainder when f x is divided by g x and verify the by actual division f x 4x 4 3x 3 2x 2 x 7 g x x 1
The discriminant of x 5 5x 4 4x 3 3x 2 2x 1 is 86477 Since it s not zero all roots are simple A polynomial is an expression of two or more algebraic terms often having different exponents Adding polynomials
Ex 1 3 4 If F x 4x 3 6x 4 Show That Fof x X
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f x 1 4x 4 1 3x 3 1 2x 2 x 5 - The correct option is 1 increases in 1 2