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Which of the following is the product of (xโˆ’5)(x2+2xโˆ’9)(๐‘ฅโˆ’5)(๐‘ฅ2+2๐‘ฅโˆ’9)?Question 11Select one:x3โˆ’3x2โˆ’9x+45๐‘ฅ3โˆ’3๐‘ฅ2โˆ’9๐‘ฅ+45x3โˆ’3x2โˆ’19x+45๐‘ฅ3โˆ’3๐‘ฅ2โˆ’19๐‘ฅ+45x3+5x2โˆ’19xโˆ’45๐‘ฅ3+5๐‘ฅ2โˆ’19๐‘ฅโˆ’45x3โˆ’3x2+9x2โˆ’10xโˆ’45

Question

Which of the following is the product of (xโˆ’5)(x2+2xโˆ’9)(๐‘ฅโˆ’5)(๐‘ฅ2+2๐‘ฅโˆ’9)?Question 11Select one:x3โˆ’3x2โˆ’9x+45๐‘ฅ3โˆ’3๐‘ฅ2โˆ’9๐‘ฅ+45x3โˆ’3x2โˆ’19x+45๐‘ฅ3โˆ’3๐‘ฅ2โˆ’19๐‘ฅ+45x3+5x2โˆ’19xโˆ’45๐‘ฅ3+5๐‘ฅ2โˆ’19๐‘ฅโˆ’45x3โˆ’3x2+9x2โˆ’10xโˆ’45

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Solution

To find the product of the given polynomials, we need to multiply them together.

Step 1: Multiply (xโˆ’5) and (x^2+2xโˆ’9)

This is done by multiplying each term in the first polynomial by each term in the second polynomial:

= x*(x^2) + x*(2x) + x*(-9) - 5*(x^2) - 5*(2x) - 5*(-9) = x^3 + 2x^2 - 9x - 5x^2 - 10x + 45 = x^3 - 3x^2 - 19x + 45

So, the product of (xโˆ’5)(x^2+2xโˆ’9) is x^3 - 3x^2 - 19x + 45.

Looking at the options, the correct answer is: x^3 - 3x^2 - 19x + 45.

This problem has been solved

Similar Questions

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