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Mathematics 57 Online
OpenStudy (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

OpenStudy (anonymous):

(3x^7 + 6x^4 - 5x + 7) - (6x^4 - 5x^3 + 7) sorry the problwm should look like this

OpenStudy (anonymous):

can someone please help me i couldn"t get an answer for it

OpenStudy (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

OpenStudy (anonymous):

ok thank you i first added the xs together to get 9x^11

OpenStudy (anonymous):

oh no you cant do that

OpenStudy (anonymous):

they are exponents...you cant add them unless they have the same base

OpenStudy (anonymous):

correction: you cant add them unless they are multiplied or divided by each other with the same base

OpenStudy (anonymous):

oh yea sorry i forgot

OpenStudy (anonymous):

so walk me throught it please

OpenStudy (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.

OpenStudy (anonymous):

i think i got it ill try the next one

OpenStudy (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

OpenStudy (anonymous):

ok here is one i cannot get

OpenStudy (anonymous):

is the answer b

OpenStudy (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

OpenStudy (anonymous):

:) ok i get it now

OpenStudy (anonymous):

ok i hope it helped...if you didnt understand i can try to explain again

OpenStudy (anonymous):

no i did thank you for your help

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