4. Guided Questions:
1. What is a trinomial? A perfect square trinomial?
2. How can we identify a perfect square trinomial?
3. How will you differentiate a perfect square trinomial
from an ordinary trinomial?
4. What do you think the factors of a perfect square
trinomial? Is it a trinomial also? Defend your answer.
6. The first criteria of a Perfect
Square Trinomial is that it must
have three terms.
x2 +8x +16
7. The first term must be a perfect square
x2 =( x )( x )
x2 +8x +16
8. The third term must be a perfect square
16 =( 4 )( 4 )
x2 +8x +16
9. The middle term must be twice the
product of the square root coefficient
of the first and last term.
(2)(1)(4) =8
x2 +8x +16
10. 1. r2 –8r +16 YES NO
2. x2 –14x +49 YES NO
3. d2 +50d +225 YES NO
4. x2 +2x +1 YES NO
5. b2 –5b +36 YES NO
Perfect Square Trinomial
Yes or No?
11.
12.
13. Study the trinomials and their corresponding
binomial factors.
1. r2 – 8r +16 = ( r –4 )2
2. x2 –14x + 49 = ( x –7 )2
4. x2 + 2x +1 = ( x +1)2
14. WHAT IF IT IS A PERFECT
SQUARE TRINOMIAL?
Ifyou have a perfect Square Trinomial it is
easy to factor:
•Take the square root of the first term.
•Take the square root of the last term.
•Use the sign of the middle term, put in
parenthesis and square the result.
21. A garden has an area x2 - 20x + 100
square meters. What is the length of
each side of the garden?
(Answer the word problem using
factoring.)
Let’s Try This!
22. In factoring a perfect square trinomial, the following
should be noted:
1. The factors are binomials with like terms wherein the
terms are the square roots of the first and the last terms
of the trinomial.
2. The sign connecting the terms of the binomial factors
is the same as the sign of the middle term of the
trinomial.
Remember!
23. Evaluation
A. Identify the given trinomial if it’s a perfect square
trinomial or not. If not explain your answer.
