Fill In The Number That Makes The Polynomial A Perfect Square Quadratic Calculator This tells us that the polynomial is a perfect square trinomial and so we can use the following factoring pattern a 2 2 a b b 2 a b 2 In our case a x and b 4
completing the square works only for quadratics or degree 2 polynomials OR if you can change another into one For instance if you had x 4 5x 2 6 you could set x 2 y and now you would have y 2 5y 6 Just keep in mind after completing the square you have to put x 2 back in for y May 8 2020 0183 32 If we divide both sides of the equation by 2x we find that y 6 and to quot complete the square quot we can simply add y 2 6 2 36 to the end of our expression giving us x2 12x 36 This is now a perfect square of the form x y 2 with y 6 so we can rewrite it as x 2 12x 36 x 6 2 x 6 2
Fill In The Number That Makes The Polynomial A Perfect Square Quadratic Calculator
Fill In The Number That Makes The Polynomial A Perfect Square Quadratic Calculator
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Oct 14 2022 0183 32 Complete the square Fill in the number that makes the polynomial a perfect square quadratic Wyzant Ask An Expert Algebra 2 Riley L asked 10 14 22 Complete the square Fill in the number that makes the polynomial a perfect square quadratic p 2 21p
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Fill In The Number That Makes The Polynomial A Perfect Square Quadratic Calculator
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For a quadratic polynomial f x ax 2 bx c completing the square means finding an expression of the form f x A x B 2 C Let s consider the case where a 1 For example for x 2 2x 4 we have the following

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Aug 17 2023 0183 32 Calculator Use This calculator uses the quot complete the square quot method to solve quadratic equations and second degree polynomial equations in the form ax2 bx c 0 where a 0 The solution shows the work required to solve a quadratic equation for real and complex roots by completing the square

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Oct 29 2020 0183 32 To complete the square assuming the coefficient of the squared term is 1 as it is here we simply need to divide the coefficent of the second term by 2 and square the result In this case 25 2 2 or 625 4 The perfect square polynomial would then be written as z 2 25z 625 4 or z 25 2 2 in factored form
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Now rewrite the perfect square trinomial as the square of the two binomial factors We especially designed this trinomial to be a perfect square so that this step would work x 178 5x 25 4 x 5 2 178

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This problem has been solved You ll get a detailed solution from a subject matter expert that helps you learn core concepts See Answer Question Complete the square Fill in the number that makes the polynomial a perfect square quadratic s 2 20s 1 Submit Complete the square Fill in the number that makes the polynomial a perfect square
You ll get a detailed solution from a subject matter expert that helps you learn core concepts See Answer Question Complete the square Fill in the number that makes the polynomial a perfect square quadratic 2 14j Show transcribed image text Here s the best way to solve it Step by Step Examples Algebra Factoring Polynomials Determine if the Expression is a Perfect Square x2 2x 1 x 2 2 x 1 A trinomial can be a perfect square if it satisfies the following The first term is a perfect square The third term is a perfect square The middle term is either 2 2 or 2 2 times the product of the square
Using the perfect square formula a b 2 a 2 2ab b 2 Put the values 6x 4y 2 6x 2 2 215 6x 215 4y 4y 2 6x 4y 2 36x 2 48x 16y 2 Answer The the square of 6x 4y is 36x2 48x 16y2 Example 2 Using the perfect square formula find if x 2 25 10x is perfect square or not