f x x 4 2x 3 3x 2 4x 1 X 2 x msquare log msquare sqrt square nthroot msquare square le ge frac msquare msquare cdot div x circ pi left square right frac d dx
If f x x4 2x3 3x2 ax b is a polynomial such that when it is divided by x 1 and x 1 the remainders are 5 and 19 respectively Determine the remainder when f x is divided by x 2 Solution Verified by Toppr Solution Verified by Toppr Given equation is f x 4x3 3x2 3x 4 We have to find x3f 1 3 Substituting x 1 x in the given equation Thus f 1 x 4 1 x 3 3 1 x 2 3 1
f x x 4 2x 3 3x 2 4x 1
f x x 4 2x 3 3x 2 4x 1
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An example of a polynomial of a single indeterminate x is x 4x 7 An example with three indeterminates is x 2xyz yz 1 If f x x 3 3x 2 4x 1 then f x is one to one as it is increasing function for x in R I want to find x such that frac 1 4 x frac 7 16 2f 1 frac x 2 1
Let f x satisfy Rolle s theorem conditions and have three successive solutions x 1 x 2 x 3 How to prove that f x is differentiable Free math problem solver answers your algebra homework questions with step by step explanations
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Use division in some form to get the quadratic factor x 3 3x 2 x 1 x 2 x 2 The quadratic is straightforward to factor x 2 x 2 x 2 x 1 So we see that f x x x 2 x 1 2 the zeros the x intercepts are 2 0 1 1 is a multiple zero of even multiplicity Write the intercepts 2 0 0 0 and 1 0 if you prefer The equation x 4 2x 3 3x 2 4x 1 0 has four distinct real roots x 1 x 2 x 3 x 4 such that x 1
Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor If f x x 4 2 x 3 3 x 2 a x b is a polynomial such that when it is divided by x 1 and x 1 the remainder are respectively 5 and 19 Determine the remainder when f x is divided by x 2
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f x x 4 2x 3 3x 2 4x 1 - Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor