anonymous
  • anonymous
Factor completely: 2x3 + 10x2 + 4x + 20
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathslover
  • mathslover
first of all find the factors of +20 do you know the factors of 20?
Callisto
  • Callisto
Take out the common factor of the first two terms and last two terms. 2x^3 + 10x2 + 4x + 20 = 2x^2 (x+5) + 4(x+5) = ...?
anonymous
  • anonymous
2x^3 + 10x^2 + 4x + 20 = 0 (2x+10)(x^2+2) = 0 2x = -10 ; x^2 = -2 x = -5 ; x = √ -2 x = -5 ; x = + or -√ 2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Callisto
  • Callisto
@ashna It's factoring the expression, not solving equation. Moreover, please don't give direct answers to the question. You may refer to our Code of Conduct at httlp://www.opnstudy.com/code-of-conduct for more information. Thanks.
anonymous
  • anonymous
okay .. sorry !
mathslover
  • mathslover
@Callisto it can be done in this way also : factors of 20 = \(\large{\pm 1,\pm 2,\pm 4,\pm 5,\pm 10, \pm20}\) now given p(x) = 2x3 + 10x2 + 4x + 20 p(-5)=-250+250-20+20=0 hence -5 is a zero of the polynomial p(x) that is (x+5) is a factor of p(x)
mathslover
  • mathslover
M i right in this way also ? please dont consider this as direct answer... it is my confusion it may be wrong and also the answer is not yet declared
Callisto
  • Callisto
I haven't learnt this way. It may work, but for this question, it's not necessary to use this way, I think. @mathslover
mathslover
  • mathslover
ok wait lemme show my full work
Callisto
  • Callisto
Well, I understand this method. Probably, you're doing by factor theorem. It works but it just takes a long time for this question as you have to test for many factors.
mathslover
  • mathslover
this is what i did
1 Attachment
mathslover
  • mathslover
Very right @Callisto It is factor theorem .. but yes it takes a long time
mathslover
  • mathslover
thanks to god that it was 20 .. if it was some other large number like 4000993 then it was next to impossible to do by this
Callisto
  • Callisto
For this type of problem,usually, I would see if it can be done by taking out factors/identities first. If not, then I have to use factor theorem.
mathslover
  • mathslover
right

Looking for something else?

Not the answer you are looking for? Search for more explanations.