factorise x 3 3x 2 9x 5 using long division Algebra Divide Using Long Polynomial Division x 3 3x 2 9x 5 x 1 x3 3x2 9x 5 x 1 x 3 3 x 2 9 x 5 x 1 Set up the polynomials to be divided If there is not a term for every exponent insert one with a value of 0 0 Divide the highest order term in the dividend x3 x 3 by the highest order term in divisor x x
Let f x x 3 3 x 2 9 x 5 f x x 3 x 2 4 x 2 4 x 5 x 5 f x x 2 x 1 4 x x 1 5 x 1 f x x 1 x 2 4 x 5 Step 2 Factorize the quadratic equation f x x 1 x 2 5 x x 5 f x x 1 x x 5 1 x 5 f x x 1 x 5 x 1 Hence the factorized form of the polynomial x 3 3 x 2 9 x 5 is x 1 x To divide polynomials using long division divide the leading term of the dividend by the leading term of the divisor multiply the divisor by the quotient term subtract the result from the dividend bring down the next term of the dividend and repeat the process until there is a remainder of lower degree than the divisor
factorise x 3 3x 2 9x 5 using long division
factorise x 3 3x 2 9x 5 using long division
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Free equations calculator solve linear quadratic polynomial radical exponential and logarithmic equations with all the steps Type in any equation to get the solution steps and graph Solution Verified by Toppr The correct option is A x 1 2 x 5 The value of x3 3x2 9x 5 is x3 5x2 2x2 10x x 5 x2 x 5 2x x 5 1 x 5 x 5 x2 2x 1
Factorize x 3 3 x 2 9 x 5 View Solution Q2 Factorize the given polynomial x 3 3 x 2 9 x 5 View Solution Q3 Using factor theorem factorise x 3 3 x 2 9 x 5 View Solution Q4 x3 3x2 9x 5 View solution steps Evaluate x 5 x 1 2 Graph Quiz Polynomial x3 3x2 9x 5 Similar Problems from Web Search How do l factorise x3 3x2 9x 5 by using factor theorem quora How do l factorise x 3
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Solution Polynomial long division x 1 2 x 5 Step by Step Solution Step 1 Equation at the end of step 1 x3 3x2 9x 5 Step 2 Checking for a perfect cube 2 1 x3 3x2 9x 5 is not a perfect cube Trying to factor by pulling out Step 1 Split the middle terms in above equation Let f x x 3 3x 2 9x 5 f x x 3 x 2 4x 2 4x 5x 5 Taking common in above equation f x x 2 x 1 4x x 1 5 x 1 f x x 1 x 2 4x 5 Step 2 Factorize the quadratic equation f x x 1 x 2 5x x 5 Taking common from the equation
By long division It is known that Dividend Divisor Quotient Remainder x3 3 x2 9 x 5 x 1 x2 4 x 5 0 x 1 x2 5 x x 5 x 1 x x 5 1 x 5 x 1 x 5 x 1 x 5 x 1 x 1 Concept Factorising the Quadratic Polynomial Trinomial of the type ax2 bx c a 0 Order of Operations Factors Primes Fractions Long Arithmetic Decimals Exponents Radicals Ratios write it as the product of its factors and then divide each term by any common factors to obtain the fully factored form 2 3 6 expressions have factors x 2 x 3 x 2 5x 6 Factoring is the process Enter a problem Cooking
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Using Factor Theorem Factorise X 3 3x 2 9x 5
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factorise x 3 3x 2 9x 5 using long division - Free equations calculator solve linear quadratic polynomial radical exponential and logarithmic equations with all the steps Type in any equation to get the solution steps and graph