anonymous
  • anonymous
Find the difference and enter it in the box below. (3x7 + 6x4 - 5x + 7) - (6x4 - 5x3 + 7) can someone plz take a look at this one i tried and i cant get an answer for it
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
(3x^7 + 6x^4 - 5x + 7) - (6x^4 - 5x^3 + 7) sorry the problwm should look like this
anonymous
  • anonymous
can someone please help me i couldn"t get an answer for it
anonymous
  • anonymous
ok so first you should distribute the negative on the second parenthesis you end up with 3x^7 + 6x^4 -5x + 7 - 6x^4 +5x^3 -7 some terms cancel from addition and subtraction and so simplify 3x^7 + 5x^3 - 5x

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anonymous
  • anonymous
ok thank you i first added the xs together to get 9x^11
anonymous
  • anonymous
oh no you cant do that
anonymous
  • anonymous
they are exponents...you cant add them unless they have the same base
anonymous
  • anonymous
correction: you cant add them unless they are multiplied or divided by each other with the same base
anonymous
  • anonymous
oh yea sorry i forgot
anonymous
  • anonymous
so walk me throught it please
anonymous
  • anonymous
ok so you have two sets of parenthesis and the second one is all subtracted from the first one so what you do is since the entire thing is subtracted, you can get rid of the parenthesis through distribution of the minus sign, so you multiply each term by -1 in the second parenthesis then you end up with 3x^5 + 6x^4 - 5x + 7 -6x^4 + 5x^3 - 7 and so now look at terms that have the same exponent. look at x^4, you are adding 6x^4 and you are subtracting 6x^4 and so if you add and subtract the same thing, its like adding zero, so they cancel each other. then you also have some constants doing the same thing so the 7's will cancel. cleaning up what we now have is 3x^7 + 5x^3 - 5x now look at the exponents. you have a degree of 7, 3, and 1. since none are equal, you cannot combine further. therefore you are left with exactly that.
anonymous
  • anonymous
i think i got it ill try the next one
anonymous
  • anonymous
Which polynomial represents the difference below? 10x^8 + 11x^6 - 2x + 5 - (8x^8 + 6x^7 - 5) A. 2x^8 - 6x^7 + 11x^6 - 2x + 10 B. 18x^8 -17x^7 + x6 - 2x + 10 C. 2x^0 + 5x^1 - 2x D. 2x^8 - 6x^7 + 9x^6 - x + 10
anonymous
  • anonymous
ok here is one i cannot get
anonymous
  • anonymous
is the answer b
anonymous
  • anonymous
ok so its kind of the same thing we just did distribute the negative 10x^8 + 11x^6 - 2x + 5 - 8x^8 - 6x^7 + 5 notice you have terms with x^8 so you can subtract the coefficients 10 - 8 = 2 then look at the constants. you have a +5 and a + 5 so you have 10. they dont cancel this time! so you are left with 2x^8 - 6x^7 +11x^6 -2x + 10 so the answer is A
anonymous
  • anonymous
:) ok i get it now
anonymous
  • anonymous
ok i hope it helped...if you didnt understand i can try to explain again
anonymous
  • anonymous
no i did thank you for your help

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