Question

75 POINTS

Given the expression: 5x10 − 80x2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B:Factor the entire expression completely. Show the steps of your work. (6 points)

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Answer 1

`\longrightarrow\text{5x}^10-80\text{x}^2`

• Take 5 common

`\longrightarrow\text{5(x}^10-16\text{x}^2)`

• Take x^2 common

`\longrightarrow\text{5(x}^2(\text{x}^8-16))`

• Multiply

`\longrightarrow\text{5x}^2(\text{x}^8-16)`

Break down

`\longrightarrow\text{5x}^2(\text{x}^4+4)(\text{x}^2+2)(\text{x}^2+2)`