Question

Explain whether the polynomials below are written in standard form. If not, use complete sentences to explain how to write the polynomial in standard form. (2 points each)

3a3b – 4ab2 + a2
–8x2y2 + 10xy4 – 6x2y
For the second one. I am just a little confushed as in which one would be bigger the -8x2y2 or the 10xy4.. help please? thank you!

Answer 1

the one that has a bigger exponent for x should go first

Answer 2

for example you have x^2 y^3 + x^4 y + xy^4

the standard form should be x^4 y + x^2 y^3 + xy^4

^descending exponents of x

Answer 3

I am not following... for #2 that isnt already in standard form correct?

Answer 4

yes. that isnt in standard form yet (neither is #1 but i suppose you're focusing on #2)

Answer 5

Oh. I thought number 1 was in standard form already

Answer 6

nope.. like i said it should be in decreasing exponent of the first variable...in #1 the first variable is a...so the exponent of a should be decreasing from left to right

Answer 7

that means a^3 comes first..then a^2 then finally a

so it would be \(3a^3 b + a^2 + 4ab^2\)

Answer 8

ohhh