Question

A. Create a quadratic expression in standard form. An expression does NOT have an equal sign. Quadratic has the form ax^2+bx+c where you pick numbers for a, b, and c. You will need to find (b/2)^2; what will make that easier? LOOK (Links to an external site.)Links to an external site. here is a short video that demonstrates how to do this, please do not use x2 +16x in your example.

b. Rewrite the expression by completing the square. Explain your work using complete sentences.

Use the order of operations to turn the expression back into standard form. Explain your work using complete sentences.

Explain why completing the square will always result in a perfect square trinomial.

Answer 1

The quadratic expression in the standard form is given by :
f(x) = ax? + bx + c
(b) To complete the square:
Divide the equation through by a , the equation then becomes
At this point, you are require to
(i) multiply the coefficient of x by 1/2
(I) square the result
(ili) add the result to both sides , we have
4(x) =27+ + (2) + + (2a) by completing the square, we have
4x) = (a + da) + & - *. We did this in order to make the expression balance
(c) Using the order of operation to turn the expression back into standard
form