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
JS
Related Maths GCSE answers
All answers ▸what is the Pythagoras theorem?
N = 2A + B. A is a two-digit square number. B is a two-digit cube number. What is the smallest possible value of N?
Gavin, Harry and Isabel each earn the same salary. Gavin saves 28% of his salary. Harry spends 3/4 of his salary and saves the rest. The amount Isabel saves:The amount she spends=3:7. Who saves the most?
Rearrange "(6y-30)/5 = 2x+(12/5)" so it reads "y = ... ". Sketch this line and label where it meets the axes.