Explanation Given: The equation, 18 = 11 x − x 2 Concept Used: Factoring Trinomials in the form x 2 + b x + c To factor a trinomial in the form x 2 + b x + c , find two integers, ' r ' and ' s ' , whose product is ' c ' ( the last term ) and whose sum is ' b ' ( coefficient of middle term). Rewrite the trinomial as x 2 + r x + s x + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be ( x + r ) and ( x + s ) . Calculation: In order to solve the given equation, since there is 11 x − x 2 on the right side, so we add x 2 − 11 x both sided to remove it from right side. So we get 18 = 11 x − x 2 18 + x 2 − 11 x = 11 x − x 2 + x 2 − 11 x x 2 − 11 x + 18 = 0 The left side is a quadratic trinomial, so in order to factor it we will split the middle term in two such factors whose product is equal to the multiplication of first and third term

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 19.3, Problem 56ES

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Solve the equation 18=11x−x2 .

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Chapter 19.3, Problem 55ES

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Solve the equation 18 = 11 x − x 2 .

Solution Summary: The author explains how to factor a trinomial in the form of x2+bx+c, using grouping and the distributive property.

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Solve the equation 18=11x−x2 .

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