Wednesday

October 22, 2014

October 22, 2014

Posted by **rebekah** on Tuesday, September 25, 2012 at 9:59pm.

2. f(x)= x^2+6x+9

3. f(x) = 3x^2-8x+2

- completing the square -
**Reiny**, Tuesday, September 25, 2012 at 10:50pmI will do the last one, the hardest of the three

3. f(x) = 3x^2 - 8x + 2

= 3(x^2 - (8/3)x) + 2 , factor out the coefficient of the x^2 term from the terms containing x

= 3( x^2 - (8/3)x**+ 16/9 - 16/9**) + 2 , take 1/2 of the coefficient of the x term, square it, then add and subtract it

= 3( (x-4/3)^2 - 19/9 ) + 2 , write the first 3 terms in the bracket as a perfect square

= 3(x-4/3)^2 - 16/3 + 2 , distribute the 3 over the inside of the bracket

= 3(x-4/3)^2 - 16/3 + 6/3 , using a common denominator ....

= 3(x - 4/3)^2 -10/3 , add up the constants

f(x) = 3(x - 4/3)^2 - 10/3

**Answer this Question**

**Related Questions**

Algebra - Which of the following statements is true? A. Any quadratic equation ...

maths - Consider the equation x(square) + 4px + 2q = 0 where p and q are real ...

Use completing the square to... - Use completing the square to describe the ...

Algebra 2 - Completing the square method allows you to solve any quadratic ...

Algebra 2 - Solve by completing the square. aČ - 2√(3a) + 2 = 0 Solve for ...

Completing the square - Please show the procedure for answering this quadratic ...

Algebra - Completing the square method allows you to solve any quadratic ...

maths - solve the following equation by completing the square x(square) - 4(...

math,correction - Is this correct now. Problem #1 solve by completing the square...

Math - Hi everyone. Would someone be able to help me with this problems? I know ...