Write 2x2+ 12x + 3 in the form p(x + q)2+ r
Write 2x2+ 12x + 3 in the form p(x + q)2+ r Step 1: Factorise all the x terms using a common factor with brackets. In this case 2 is a common factor to both 2x2and 12x ==== Step 1 Answer: 2(x2+6x)+3 Step 2: Complete the square.In this case (x2+6x) = ((x+3)2-9) ====Step 2 Answer: 2((x+3)2-9)+3 Step 3: Multiply out the brackets. In this case multiple -9 by 2 and remove the first bracket ====Step 3 Answer: 2(x+3)2-18 + 3 Step 4: Complete the addition and obtain the format p(x + q)2+ r ====Step 4 Answer: 2(x+3)2-15 Hence p = 2, q = 3, r = -15
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