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When you ____________ a number, the product is called a perfect square.
List the first few integers that are perfect squares: ____________________________
When you square a _______________, the product is called a perfect square trinomial.
To square an expression means to multiply it by ____________. You can use FOIL to help
you multiply the two binomials.
(x + 5)2 = ____________________ = _______________
(x – 8)2 = ____________________ = _______________
If you ____________ the second term of the binomial, you get the _____________ term of
the perfect square trinomial.
A perfect square will always have a __________ sign
before the last term.
The second term of the binomial is ___________ the
coefficient of the middle term of the perfect square trinomial.
Note: This only applies if the leading coefficient is 1.
When you’re completing the square, you’re trying to think backwards to ______ an
expression and make it into a ________________ ______________ trinomial.
You can divide the coefficient of the middle term by ____ to figure out what goes in the
parentheses. The short way to find the constant is to remember that the constant is
always equal to the _____________ of the second term of the binomial.
1. Take ____ of b. (This number goes inside the parentheses)
2. ___________ it to find c.
Complete the square.
1.
x2 + 16x + _____
2. x2 – 24x + _____
3.
x2 + 9x + _____
Answer as a fraction: _____
1. Which option is a perfect square? ________________
2. Factor x2 + 14x + 49 __________________________
3. Factor x2 - 6x + 9 __________________________
4. (x + 4)2 = x2 + 8x + _______
5. (x – 12)2 = x2 - 24x + _______
6. Complete the square. x2 + 26x + _______
7. Complete the square. x2 - 10x + _______
8. Complete the square. x2 + 7x + _______
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