IDNLearn.com makes it easy to get reliable answers from experts and enthusiasts alike. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.
Sagot :
To solve [tex]\((14 m^4 - 21 m^3 - 28 m^2) \div 7 m^2\)[/tex], let's divide each term of the polynomial by [tex]\(7 m^2\)[/tex] step-by-step:
1. Divide the first term [tex]\(14 m^4\)[/tex] by [tex]\(7 m^2\)[/tex]:
[tex]\[ \frac{14 m^4}{7 m^2} = \frac{14}{7} \cdot \frac{m^4}{m^2} = 2 \cdot m^{4-2} = 2 m^2 \][/tex]
2. Divide the second term [tex]\(-21 m^3\)[/tex] by [tex]\(7 m^2\)[/tex]:
[tex]\[ \frac{-21 m^3}{7 m^2} = \frac{-21}{7} \cdot \frac{m^3}{m^2} = -3 \cdot m^{3-2} = -3 m \][/tex]
3. Divide the third term [tex]\(-28 m^2\)[/tex] by [tex]\(7 m^2\)[/tex]:
[tex]\[ \frac{-28 m^2}{7 m^2} = \frac{-28}{7} \cdot \frac{m^2}{m^2} = -4 \cdot m^{2-2} = -4 \cdot m^0 = -4 \cdot 1 = -4 \][/tex]
Combining these results, we get:
[tex]\[ \frac{14 m^4 - 21 m^3 - 28 m^2}{7 m^2} = 2 m^2 - 3 m - 4 \][/tex]
Thus, the simplified form of [tex]\(\left(14 m^4 - 21 m^3 - 28 m^2\right) \div 7 m^2\)[/tex] is:
[tex]\[ 2 m^2 - 3 m - 4 \][/tex]
1. Divide the first term [tex]\(14 m^4\)[/tex] by [tex]\(7 m^2\)[/tex]:
[tex]\[ \frac{14 m^4}{7 m^2} = \frac{14}{7} \cdot \frac{m^4}{m^2} = 2 \cdot m^{4-2} = 2 m^2 \][/tex]
2. Divide the second term [tex]\(-21 m^3\)[/tex] by [tex]\(7 m^2\)[/tex]:
[tex]\[ \frac{-21 m^3}{7 m^2} = \frac{-21}{7} \cdot \frac{m^3}{m^2} = -3 \cdot m^{3-2} = -3 m \][/tex]
3. Divide the third term [tex]\(-28 m^2\)[/tex] by [tex]\(7 m^2\)[/tex]:
[tex]\[ \frac{-28 m^2}{7 m^2} = \frac{-28}{7} \cdot \frac{m^2}{m^2} = -4 \cdot m^{2-2} = -4 \cdot m^0 = -4 \cdot 1 = -4 \][/tex]
Combining these results, we get:
[tex]\[ \frac{14 m^4 - 21 m^3 - 28 m^2}{7 m^2} = 2 m^2 - 3 m - 4 \][/tex]
Thus, the simplified form of [tex]\(\left(14 m^4 - 21 m^3 - 28 m^2\right) \div 7 m^2\)[/tex] is:
[tex]\[ 2 m^2 - 3 m - 4 \][/tex]
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.