This week in Pre-Calculus 11 we learned about perfect square trinomials. We learned how to regonize and factor them. How can you identify perfect square trinomials? You need to look at each term.
The first term is a perfect square
The third term is a perfect square that must be positive.
The second term can be positive or negative.
This week in Pre-Calculus 11 we learned about factoring polynomials. Ms. Burton gave a very useful acronym Can Divers Pee Easily Underwater.
Common
Difference of squares
Pattern
Easy
Ugly
These are the steps that help break down a polynomial and properly factor it. In this blog post I am going to focus on Ugly polynomials because it was something I struggled with. There are multiply ways to factor ugly polynomials but I prefer the square method. This is my favourite because it looks nice, its easy to understand, and breaks it down right to the answer.
First I identified is there was anything in common, if there was a difference of squares, or a pattern.
I noticed the pattern of a normal polynomial, then asked if it is easy or ugly? You can identify this by looking infront of the squares variable, so if there is no coefficient then it is easy but if there is a coefficient then it is ugly. So this polynomial is ugly.
“To hell with the handkerchief,” said Walter Mitty scornfully. He took one last drag on his cigarette and snapped it away. Then, with that faint, fleeting smile playing about his lips, he faced the firing squad; erect and motionless, proud and disdainful, Walter Mitty the Undefeated, inscrutable to the last. The firing squad aimed, Walter Mitty kept his head high waiting to greet death. A woman jumped through the crowd as the firing squad had their fingers on their tiggers, ready to shoot. She opened her mouth to say something, but she was too late and Walter knew it as the he heard the guns go off “Aaaaaah!”…
“What is wrong dear?” Mrs. Mitty asked the young lady who had just screamed for no apparent reason.
“That m-man ju-just took m-my purse,” the lady replied with tears in her eyes threatening to fall. Mrs. Mitty wrapped her arms around the girl and tried her best to comfort her. Telling her that everything is okay, and that someone will get the police.
Once the police arrived Walter and his wife headed home. The drive home was quiet; when they finally arrived home Mrs. Mitty headed to the kitchen to begin dinner.
“Walter, did you eat all the bread?” Mrs. Mitty called rather insinuatingly.
“No, there should be more in the cabinet.” replied Walter as he headed into the living room.
“Where is that dog?” He thought to himself as he checked under the coffee table, that is when he spotted the blonde cocker spaniel coming down the stairs. The little dog came into the living room; her tail began wagging once she spotted Walter. He bent down and reached into his pocket for the puppy biscuit. The spaniel spotted the puppy biscuit and jumped at him…
“Roooaarrrr” he jumped out of the way as the beast lunged for him. When he turned back to face the beast, but the lion jumped again and had Walter pinned. He frantically looked around for anything to hit the her with. The insolent animal bit his arm as he went to strike it in the side, this distracted the beast long enough for Walter to grab a log and hit it in the face. He then reached for some dirt and threw into her face. Walter got up and started running , he needed to find it before this beast kills him. He stopped at a small little pond to clean the bite mark on his arm. He looked in his reflection and saw a haggard looking man. That’s when he saw it out of the corner of his eye, the cave entrance he has been looking for, for three weeks now. As he stepped into the cave he he quietly whispered to himself, “The life of an archeologist was gonna get him killed.”
This was the second time this trip a wild animal has tried to make him a meal. He heard the soft breathing of the lion as she entered the cave stalking her prey. He stepped behind a large rock and noticed there was gap with the slightest bit of light flowing through it. Walter hurriedly stepped into the gap, as the lion stepped around the boulder. He heard a growl and started running as fast as he could through the narrow space. The light getting brighter as he sprinted through. The sun is setting he does not have much time till he looses daylight. As he neared the end of the tunnel he noticed there was a ledge and looked back at the lion which was getting closer. Once he got to the edge he saw his next clue, the waterfall, so he jumped.
