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# Polynomial problems...............................................

(1)
(9x^4+7x^2-6x-15)+(3x^3-7x^2+6x-15

(2)
(9x^3+x^2-x-13)-(9x^3+x^2-x-13)

(3)
(9m^4n^2-13m^3n^3+11m^2n^4)+(-4m^2-n^4-3m^4n^2-m^3n^3)

(4)
(22x^3y^9-21x^6y^4-7x^8y^2)-(22x^3y^9-21x^6y^4-7x^8y^2)

(5)
Find the missing polynomial
(2x^3-4x^2-7x+19)+ ? =x^2+3x+24

### 1 Answer by Expert Tutors

William S. | Experienced scientist, mathematician and instructor - WilliamExperienced scientist, mathematician and...
4.4 4.4 (10 lesson ratings) (10)
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1. (9x^4 + 7x^2 - 6x - 15) + (3x^3 - 7x^2 + 6x - 15) = 9x^4 + 3x^3 - 30
(9x^4+7x^2-6x-15) - (3x^3-7x^2+6x-15) = 9x^4 - 3x^3 +14x^2 - 12x

2. I hope I am interpreting this correctly

(9m4n2 - 13m3n3 + 11m2n4) +(-4m2-n4-3m4n2-m3n3) = 6m4n2 - 14m3n3 + 7m2n4 - n4
(9m4n2 - 13m3n3 + 11m2n4) - (-4m2 - n4 - 3m4n2 - m3n3)= 12m4n2 -12m3n3 + 15m2n4 + n4

3. and 4. Dear math student from altadena, CA: now that you've seen how to work a couple of these, why not try the next two on your own. If you run into any difficulty, send me a message and I'll help you.

5. (2x3 - 4x2 -7x +19) + ? = (x2 + 3x +24)

You can treat the question mark just as if it were some other variable.

Therefore

? = (x2 + 3x +24) - (2x3 - 4x2 -7x +19)

? = -2x3 +5x2 +10x +5