G.GPE.A.1 WORKSHEET #2 – Hicks Name: ________________________________ 1 1. Square the given binomials. Write the expression in standard form, ax 2 + bx + c and then write the quadratic coefficient, a, the linear coefficient, b, and the constant term, c. 2
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a) ( x − 2 ) 2
b) ( x + 5) c) ( x − 9) a = ______ b = ______ c = ______ a = ______ b = ______ c = ______ a = ______ b = ______ c = ______ 2. Determine the value of the constant term, c, to create a perfect square trinomial and then write the trinomial in factored form. a) x 2 + 4 x + ____ b) x 2 + 10 x + ____ c) x 2 + 14 x + ____ Factored form _______________ Factored form _______________ Factored form _______________ 2
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d) x − 12 x + ____ e) x − 8x + ____ f) x 2 − 2 x + ____ Factored form _______________ Factored form _______________ Factored form _______________ 3. Complete the square for the given quadratic equations. c) x + 10 x + 24 = 0 Factored form _______________ 2
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d) y + 1y − 5 = 0 Factored form _______________ e) x 2 + 6 x − 11 = 0 Factored form _______________ 4. Determine the center and radius of the given circles by completing the square. 2
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d) x − 14 x + y − 2 y − 50 = 0 e) x + y + 18 x + 17 = 0 Center (_____ , _____) Radius = ______ Center (_____ , _____) Radius = ______