5.5 Polynomial Long Division Practice

You will use this problem in the next several slides as you use long division. You may wish to write this on paper to avoid navigating backwards. First, you will need to rewrite the problem. Next, you will need to find the first term in your solution. This goes above the division bar Then, you will need to multiply. This answer will need to be subtracted. ( n+8 ) n ^{3}+13n^{2}+34n-48n+8 ( ) n ^{3}+13n^{2}+34n-48n ^{2}+ Bring down the next term! This process will then repeat. n+8 -(n ^{3}+8n^{2})n ^{3}+13n^{2}+34n-48n ^{2}5n ^{2}+34nNext, you will need to find the second term in your solution. n+8 -(n ^{3}+8n^{2})n ^{3}+13n^{2}+34n-48n ^{2}5n ^{2}+34n+ This goes above the division bar Then, you will need to multiply. n+8 This answer will need to be subtracted. -(n ^{3}+8n^{2})( n ^{3}+13n^{2}+34n-48n ^{2} +5n5n ^{2}+34n) n+8 -(n ^{3}+8n^{2})n ^{3}+13n^{2}+34n-48-( ) n ^{2} +5n5n ^{2}+34nn+8 -(n ^{3}+8n^{2})n ^{3}+13n^{2}+34n-48-( 5n ^{2} + 40n)n ^{2} +5n5n ^{2}+34n-6n-48 n+8 -(n ^{3}+8n^{2})n ^{3}+13n^{2}+34n-48-( 5n ^{2} + 40n)n ^{2} +5n -65n ^{2}+34n-( ) -6n-48 Lets try the following problem on paper: Enter the final answer below. (35x ^{3}-65x^{2}-5x+41) ÷ (5x-5)+ |

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