factorise 2x 3 3x 2 17x 30 Q Show that x 2 is a factor of the polynomial f x 2 x 3 3 x 2 17 x 30 and hence factorize f x
Factorise 2x 3x 17x 30 Solution Given the polynomial is 2x 3x 17x 30 We have to factorise the polynomial Let p x 2x 3x 17x 30 The constant term of p x is 30 Factors of 30 1 2 3 5 6 10 15 30 Let us take x 2 Substitute x 2 in p x p 2 2 2 3 2 17 2 30 2 8 2x3 3x2 17x 30 0 Three solutions were found x 5 2 2 500 x 2 x 3 Step by step solution Step 1 Equation at the end of step 1 2 x3 3x2 17x 30 0 Step 2
factorise 2x 3 3x 2 17x 30
factorise 2x 3 3x 2 17x 30
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The polynomial 2x 3 3x 2 17x 30 can be factorized by using the rational root test To apply this test first we need to find at least one rational zero Polynomial roots calculator can be used to find rational zero Let p x 2x 3 3x 2 17x 30 Constant term of p x 30 Factors of 30 are 1 2 3 5 6 10 15 30 By trial we find that p 2 0 so x 2 is a factor of p x because 2 2 3 3 2 2 17 2 30 16 12 34 30 0 Now we see that 2x 3 3x 2 17x 30 2x 3 4x 2 x 2 2x 15x 30
To factor a monomial write it as the product of its factors and then divide each term by any common factors to obtain the fully factored form To factor a binomial write it as the sum or Detailed step by step solution for factor 2x 3 3x 2 17x 30 Solutions Integral Calculator Derivative Calculator Algebra Calculator Matrix Calculator More Graphing Line Graph Exponential Graph Quadratic Graph Sine Graph More Calculators BMI Calculator Compound Interest Calculator Percentage Calculator Acceleration Calculator More
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Factorize the given equation 2 Hint There can be two ways to solve this problem Firstly is the simple use of hit and trial to match up with the options for value of x In option if we have x 2 x 2 this means that 2 is the value of x which we have to satisfy in the given equation Second method we will explain in a later ending Free Factoring Solver helps you factor expand or simplify polynomials Find greatest common divisors roots partial fraction decompositions Answers graphs additional properties
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factorise 2x 3 3x 2 17x 30 - The polynomial 2x 3 3x 2 17x 30 can be factorized by using the rational root test To apply this test first we need to find at least one rational zero Polynomial roots calculator can be used to find rational zero