Unformatted text preview: se a plan.
• From before?
• A related problem?
• Usable definitions/theorems?
3. Carry out the plan.
• Is each step correct?
• Is the step allowed?
4. Looking Back.
• Is there another method? exercise: What would the function be if the plot did not use the house for one side?
[Answer: A = −x + 20x]
2 PRE-CALCULUS 11 Unit 1 – Day 8: COMPLETING THE SQUARE x − 3 is a binomial.
(x − 3)2 is the square of the binomial. x The algebra tile diagram for the above is shown to the right. -3 -x -x -x 1 1 1 -x 1 1 1 -x When this square of a binomial is expanded, the result is
x2 − 6x + 9 which is a perfect square trinomial. x2 -x x -3 1 1 1 COMPLETING THE SQUARE
Completing the square is an algebraic process where a quadratic polynomial is rewritten so that it
contains a perfect square trinomial so that this trinomial can be rewritten as the square of a binomial. exercise: Fill in the blank with the term that will produce a perfect square trinomial and then write
the trinomial as a square. a) x2 − 10x + _____ b) x2 + 16x + _____ c...
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