calculusxy
  • calculusxy
Operations with Polynomials 4(a + 5) - 5(a^2 - 4a + 7)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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calculusxy
  • calculusxy
\[\huge 4(a + 5) - 5(a^2 - 4a + 7)\]
calculusxy
  • calculusxy
Would the standard form be: \[\large 5a^2 + 24a - 5\]
calculusxy
  • calculusxy
@Nnesha

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Nnesha
  • Nnesha
what was ur first step ??
calculusxy
  • calculusxy
I distributed 5 to a^2 , -4a , and 7 to get -5a^2, +20a, -35.
Nnesha
  • Nnesha
yes right so -5a^2
calculusxy
  • calculusxy
Oh yes
Nnesha
  • Nnesha
and there is another typo check ur work
Nnesha
  • Nnesha
when distribute 4(a+5) what did you get ?
calculusxy
  • calculusxy
4a + 20
Nnesha
  • Nnesha
yes right now combine like terms \[\huge\rm 4a+20-5a^2+20a-35\]
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @calculusxy Would the standard form be: \[\large 5a^2 + 24a - 5\] \(\color{blue}{\text{End of Quote}}\) pretty sure it's a typo ;d
calculusxy
  • calculusxy
(4a + 20a) --> 24a (20 - 35) --> -5 -5a^2 so now it would be: \[\large -5a^2 + 24a -5 \]
Nnesha
  • Nnesha
20-35 isn't equal to -5
calculusxy
  • calculusxy
-15 right?
Nnesha
  • Nnesha
yes :=)
Nnesha
  • Nnesha
good work!
calculusxy
  • calculusxy
Thank you! I juts have a small question.
calculusxy
  • calculusxy
We know that when writing the standard form of a polynomial, you need to order it from the highest to the least degrees. Let's say we have -4p^3q^3 and pq^3, then what would go first?
Nnesha
  • Nnesha
you should add the exponents of both terms \[\huge\rm 4xy =4x^1y^1\] so highest degree of this term would be 2
calculusxy
  • calculusxy
I don't understand
calculusxy
  • calculusxy
\[\large -4p^3q^3 \] or \[\large -pq^3\]
Nnesha
  • Nnesha
to write it in standard form you should go highest to lowest degree \[\large\rm 2x^3 +4x^4 +8x^2 ~~would ~be~ 4x^4+2x^3+8x^2\] right so when there are more than one variable highest degree would depends on the sum of both degrees so \[\large\rm -4p^3q^3 \] 3+3 =6 \[\large\rm -p^1q^3\] 1+3 =4 so which terms hve the higest degree ?
Nnesha
  • Nnesha
highest *
calculusxy
  • calculusxy
-4p^3q^3 which would have the highest degree of 6..
Nnesha
  • Nnesha
i'll give you an example \[\huge\rm \color{Red}{4xy^2} ,\color{blue}{ 5x^3y^4}\] \[\large\rm \color{ReD}{4xy^2}\] 1+2= 3 \[\large\color{blue}{5x^3y^4}\] 3+4 = 7 so blue term is with the the highest term so ur answer would be 5x^3y^4 ,4xy^2
Nnesha
  • Nnesha
yes right!
calculusxy
  • calculusxy
okay so if we don't see an exponent, then we just have to add that invisible 1 right?
Nnesha
  • Nnesha
yes right x is same as x to the 1 power
calculusxy
  • calculusxy
ok thank you so much!
Nnesha
  • Nnesha
np :=)
calculusxy
  • calculusxy
i really appreciate your help :)
Nnesha
  • Nnesha
thx o^_^o

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