Question
\( \begin{array}{ll}\text { (2) } & 3 y^{2}-7 y+2 \\ \text { (4) } & 7 n^{2}-13 n-2 \\ \text { (6) } & 6 t^{2}+11 t+4 \\ \text { (8) } & 12 x^{2}+19 x-18 \\ \text { (10) } & 21 x^{2}+40 x+16 \\ \text { (12) } & 18 y^{2}+11 y-24 \\ \text { (14) } & -9 p^{2}+13 p-4 \\ \text { (16) } & 14 x y-9 x^{3} y-15\end{array} \)
Ask by Matthews Mejia. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Please specify what you would like to do with the polynomials: factor them, find their roots, simplify, or evaluate at specific values.
Solution
It looks like you have provided a list of polynomial expressions. To assist you effectively, please specify what you would like to do with these polynomials. Here are some possible actions you might consider:
1. **Factor the polynomials**: We can factor each polynomial to find its roots or simpler forms.
2. **Solve for roots**: We can find the values of the variables that make each polynomial equal to zero.
3. **Simplify the expressions**: We can simplify any of the polynomials if possible.
4. **Evaluate at specific values**: We can substitute specific values for the variables in the polynomials.
Please let me know which action you would like to take!
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Here's a fun twist for you: Did you know that quadratic equations, like the ones you've listed, have been around since ancient civilizations? The Babylonians were solving them over 4,000 years ago using geometric methods! Their work laid the groundwork for modern algebra, and today we often use formulas like the quadratic formula to find solutions quickly. Also, when dealing with polynomials, don’t forget to check for common mistakes such as misapplying the distributive property or forgetting to combine like terms. A common problem-solver's tip is to always double-check your signs while factoring or expanding; a little hiccup here can lead you down the wrong mathematical path!
