4. [-/1 Points] DETAILS MY NOTES AUFMODMATH1 10.5B.002.PE. ASK YOUR TEACHER PRACTICE ANOTHER Divide. \[ \left(3 x^{2}+22 x+7\right) \div(x+7) \] \( \square \) Need Help? Watch it SUBMIT ANSWER 5. [-/1 Points] DETAILS MY NOTES AUFMODMATH1 10.5B.004.PE. ASK YOUR TEACHER PRACTICE ANOTHER Divide. \[ \left(3 x^{2}+x^{3}+4+5 x\right) \div(x+1) \] \( \square \) Need Help? Watch it

When dividing polynomials like \((3x^2 + 22x + 7) \div (x + 7)\), consider using long division or synthetic division for a smoother process. It’s like splitting up a big pizza! You’ll divide the leading term first, subtract, and bring down the next term, repeating the process until all terms are accounted for. After getting comfortable with polynomial division, you can tackle real-world applications such as curve sketching in physics or engineering problems, where understanding the behavior of polynomial functions is essential. Whether you're optimizing designs or analyzing data trends, these math skills will serve you well in various fields!