Question

Operations with Polynomials

4(a + 5) - 5(a^2 - 4a + 7)

Answer 1

\[\huge 4(a + 5) - 5(a^2 - 4a + 7)\]

Answer 2

Would the standard form be:
\[\large 5a^2 + 24a - 5\]

Answer 3

@Nnesha

Answer 4

what was ur first step ??

Answer 5

I distributed 5 to a^2 , -4a , and 7 to get -5a^2, +20a, -35.

Answer 6

yes right so -5a^2

Answer 7

Oh yes

Answer 8

and there is another typo check ur work

Answer 9

when distribute 4(a+5) what did you get ?

Answer 10

4a + 20

Answer 11

yes right now combine like terms \[\huge\rm 4a+20-5a^2+20a-35\]

Answer 12

\(\color{blue}{\text{Originally Posted by}}\) @calculusxy
Would the standard form be:
\[\large 5a^2 + 24a - 5\]
\(\color{blue}{\text{End of Quote}}\)
pretty sure it's a typo ;d

Answer 13

(4a + 20a) --> 24a
(20 - 35) --> -5
-5a^2

so now it would be:
\[\large -5a^2 + 24a -5 \]

Answer 14

20-35 isn't equal to -5

Answer 15

-15 right?

Answer 16

yes :=)

Answer 17

good work!

Answer 18

Thank you! I juts have a small question.

Answer 19

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?

Answer 20

you should add the exponents of both terms
\[\huge\rm 4xy =4x^1y^1\] so highest degree of this term would be 2

Answer 21

I don't understand

Answer 22

\[\large -4p^3q^3 \] or \[\large -pq^3\]

Answer 23

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 ?

Answer 24

highest *

Answer 25

-4p^3q^3 which would have the highest degree of 6..

Answer 26

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

Answer 27

yes right!

Answer 28

okay so if we don't see an exponent, then we just have to add that invisible 1 right?

Answer 29

yes right x is same as x to the 1 power

Answer 30

ok thank you so much!

Answer 31

np :=)

Answer 32

i really appreciate your help :)

Answer 33

thx o^_^o