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Instructions: Multiply the polynomial expressions.ย (2x+5)(5x2โˆ’xโˆ’4)(2๐‘ฅ+5)(5๐‘ฅ2โˆ’๐‘ฅโˆ’4)Question 9Select one:10x3+8x2โˆ’13x+2010๐‘ฅ3+8๐‘ฅ2โˆ’13๐‘ฅ+2010x3+23x2โˆ’13xโˆ’2010๐‘ฅ3+23๐‘ฅ2โˆ’13๐‘ฅโˆ’2010x3+27x2โˆ’3x+2010๐‘ฅ3+27๐‘ฅ2โˆ’3๐‘ฅ+2020x2โˆ’15x+2020๐‘ฅ2โˆ’15๐‘ฅ+20Clear my choiceCheckQuestion 9

Question

Instructions: Multiply the polynomial expressions.ย (2x+5)(5x2โˆ’xโˆ’4)(2๐‘ฅ+5)(5๐‘ฅ2โˆ’๐‘ฅโˆ’4)Question 9Select one:10x3+8x2โˆ’13x+2010๐‘ฅ3+8๐‘ฅ2โˆ’13๐‘ฅ+2010x3+23x2โˆ’13xโˆ’2010๐‘ฅ3+23๐‘ฅ2โˆ’13๐‘ฅโˆ’2010x3+27x2โˆ’3x+2010๐‘ฅ3+27๐‘ฅ2โˆ’3๐‘ฅ+2020x2โˆ’15x+2020๐‘ฅ2โˆ’15๐‘ฅ+20Clear my choiceCheckQuestion 9

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Solution

To solve this problem, we need to multiply the two polynomials (2x+5) and (5x^2-x-4) together.

Step 1: Distribute each term in the first polynomial to each term in the second polynomial.

2x * 5x^2 = 10x^3 2x * -x = -2x^2 2x * -4 = -8x 5 * 5x^2 = 25x^2 5 * -x = -5x 5 * -4 = -20

Step 2: Combine like terms.

10x^3 - 2x^2 - 8x + 25x^2 - 5x - 20 = 10x^3 + 23x^2 - 13x - 20

So, the correct answer is 10x^3 + 23x^2 - 13x - 20.

This problem has been solved

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(2x+5)(x 2 โˆ’4xโˆ’1)

5(xโˆ’5)โˆ’2xโˆ’4=โˆ’20

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