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f(x)=2x^2-7x+-28−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

2x2−7x−282x^2-7x-28

Step-by-step Solution

Learn how to solve completing the square problems step by step online. Factor the expression 2x^2-7x+-28. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{7}{2}x+\frac{49}{16}. Simplify the addition \left(x- \frac{7}{4}\right)^2-14-\frac{49}{16}.
Factor the expression 2x^2-7x+-28

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Final answer to the exercise

2(x−74)2−27382\left(x-\frac{7}{4}\right)^2-\frac{273}{8}

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  • Integrate by partial fractions
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  • FOIL Method
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Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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