X 3 6x 2 11x 6 By Long Division Method Was this answer helpful Factorise the expression x3 6x2 11x 6
By factor theorem x 1 is a factor of x 3 6 x 2 11 x 6 Performing long division as shown below x 2 5 x 6 x 1 x 3 6 x 2 11 x 6 x Apply the division algorithm to find the quotient and remainder on dividing f x by g x as given below i f x x 3 6 x 2 11 x 6 g x x 2
X 3 6x 2 11x 6 By Long Division Method
X 3 6x 2 11x 6 By Long Division Method
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When divided by x 3 the polynomials x3 px2 x 6 and 2x3 x2 p 3 x 6 leave the same remainder Find the value of p Using the Remainder Theorem factorise each of the Use the long division method to find the result when Set up the polynomials to be divided If there is not a term for every exponent insert one with a value of Divide the highest order term in
We use factor theorem which states that a polynomial p x has a factor x a if and only if p a 0 in other words a is a zero of p x So we divide x 3 6 x 2 11 x 6 by x a find the Given Polynomial f x x3 6x2 11x 6 Concept Factor theorem If f x is a polynomial of degree n 1 and a is any real numb
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X 3 6x 2 11x 6 can be divided by 3 different polynomials including by x 3 Polynomial Long Division 2 4 Polynomial Long Division Dividing x 3 6x 2 11x 6 Dividend By x 3 Divisor Divide x3 6x2 11x 6 by x 2 and verify the division algorithm Hint We start solving the problem by finding the dividend and divisor of the division process We then perform the long
Polynomial x 6x 11x 6 Divisor x 3 TO FIND To divide the given equations and check wether the divisor is the factor of the polynomial SOLUTION The above problem can be simply solved as follows GIVEN To factor the polynomial x 3 6 x 2 11 x 6 we can use the Rational Root Theorem and synthetic division Finding Potential Roots We start by looking for rational roots
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Was this answer helpful Factorise the expression x3 6x2 11x 6
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By factor theorem x 1 is a factor of x 3 6 x 2 11 x 6 Performing long division as shown below x 2 5 x 6 x 1 x 3 6 x 2 11 x 6 x
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X 3 6x 2 11x 6 By Long Division Method - 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