Nao observed the faces of her new group members.
Keisuke Shinohara's infectious energy and cheerful demeanor contrasted sharply with her apprehension.
Kayo Amano's calm and somewhat aloof appearance gave her an air of mystery.
Hideo Hirota's strong and friendly voice hinted at a person who was easy to get along with. Asami Furukawa's cheerful greeting made her seem approachable.
As the introductions unfolded, Nao's nervousness began to dissipate as her stiffened shoulders began to ease.
Surrounded by her classmates, each with their unique personalities and backgrounds. The initial awkwardness of being placed in a group with strangers started to give way to a sense of camaraderie.
Keisuke, the self-appointed group leader, spoke up with enthusiasm, "Great! Now that we know each other, let's tackle this project head-on. Miss Suika gave us a challenging one, but I'm sure we can handle it together!"
Nao nodded, her confidence growing. She was no longer alone in this endeavor; she had her group members to rely on.
"First let's see the first equation..." Hideo said, examining the paper worksheet.
[ 2x³-6x²-x+10 divided by (x-2) ]
[ Find the H(x) and S(x) ]
Hideo deep in thought furrowed his brows, "Hm..."
"With this equation, wouldn't it be easier to use the Horner's method? " He asked, looking for the member's opinions.
Keisuke immediately beamed, "Oh, I know that one!" He exclaimed, his enthusiasm in full view.
Kayo's eyes glinted, "I agree, I don't like to use the stacking method." She said.
Nao shifted her focus to the worksheet as Hideo began to explain the equation.
"Since we've all agreed then, let's work on this together! " Keisuke exclaimed, fisting his fist in the air.
As they delved into the math problem, the once unfamiliar faces of her group members became more friendly and reassuring. Keisuke's enthusiasm was contagious, and Nao found herself sharing his confidence.
X-2=0
X=0+2
X=2
X³ X² X K
2 -6 -1 10
4 -4 -10
2 -2 -5 0
[ S(X)=0 ]
[ H(X)=2X²-2X-5 ]
"Woo! We're finally done with the first equation." Keisuke exclaimed in joy, as he pretended to wipe his forehead from sweat.
"Shouldn't we prove it first?" Kayo asked.
Nao gathered the courage to ask, "H-how do we do that?"
"Isn't like this!" Asami replied and scribbled the worksheet.
P(X) = Q(X). H(X) + S(X)
= (X-2). (2X²-2X-5) + 0
= 2X³-2X²-5X-4X²+4X+10
= 2X³-6X²-X+10
"Huh, you got it right," Hideo said in surprise.
Kayo's calm and collected presence helped to keep the group grounded, while Asami's approachability made it easy for Nao to ask questions when she needed clarification.
Together, they worked through the equation, sharing ideas, and offering support when someone faced difficulty. It was evident that each member brought their unique strengths to the group, and they complemented each other well.
Nao marveled at how quickly the sense of camaraderie had developed. What began as a group of strangers was now a team of students working together to conquer a challenging project.
As they continued to solve the equation, Nao couldn't help but feel grateful for her new group. With their help, she was confident they could tackle any task Miss Suika had assigned.
The mathematical problem proved to be a formidable challenge, but Nao was no longer alone. She had found allies in her classmates, and together, they would overcome any obstacle that came their way.
Miss Suika, noticing the students had settled into their groups, smiled with satisfaction. She knew that this exercise would not only test their understanding but also foster teamwork and collaboration.
The day continued, and with each passing moment, Nao felt more connected to her group members. As they delved into the mathematical problems, they shared their ideas, asked questions, and gradually developed a rhythm in their collaboration.
By the end of the class, they had made significant progress, and the once-intimidating project seemed more manageable. Nao couldn't help but feel a sense of accomplishment. The challenges of the day had turned into opportunities for growth and friendship.
As the final bell rang, signaling the end of the school day, Nao exchanged contact information with her group members. Keisuke's phone was filled with quirky memes, Kayo's displayed a minimalist background, Hideo's showed a picture of his pet dog, and Asami's was adorned with colorful stickers.
Nao couldn't help but smile at the uniqueness of her new friends.
The warm, golden glow of the setting sun bathed the school in a serene light. Nao felt a sense of contentment as she headed to her club. The unexpected turn of events had led her to this point, and she looked forward to the next day, eager to see where her newfound friendships and school adventures would take her.