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What is the coefficient of $x^3$ when $7x^4-3x^3 -3x^2-8x + 1$ is multiplied by $8x^4+2x^3 - 7x^2 + 3x + 4$ and the like terms are combined?

 Dec 11, 2014

Best Answer 

 #1
avatar+23254 
+5

To get an x³ in the answer:

---   Multiply the +1 from the first factor with the 2x³ of the second factor to get 2x³

---   Multiply the -8x times the -7x² to get 56x³

---   Multiply the -3x² times the 3x to get -9x³

---   Multiply the -3x³ times the 4 to get -12x³

Add these terms together to get the coefficient that you want ...

 Dec 11, 2014
 #1
avatar+23254 
+5
Best Answer

To get an x³ in the answer:

---   Multiply the +1 from the first factor with the 2x³ of the second factor to get 2x³

---   Multiply the -8x times the -7x² to get 56x³

---   Multiply the -3x² times the 3x to get -9x³

---   Multiply the -3x³ times the 4 to get -12x³

Add these terms together to get the coefficient that you want ...

geno3141 Dec 11, 2014

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