Which of the following is the product of (xโ5)(x2+2xโ9)(๐ฅโ5)(๐ฅ2+2๐ฅโ9)?Question 11Select one:x3โ3x2โ9x+45๐ฅ3โ3๐ฅ2โ9๐ฅ+45x3โ3x2โ19x+45๐ฅ3โ3๐ฅ2โ19๐ฅ+45x3+5x2โ19xโ45๐ฅ3+5๐ฅ2โ19๐ฅโ45x3โ3x2+9x2โ10xโ45
Question
Which of the following is the product of (xโ5)(x2+2xโ9)(๐ฅโ5)(๐ฅ2+2๐ฅโ9)?Question 11Select one:x3โ3x2โ9x+45๐ฅ3โ3๐ฅ2โ9๐ฅ+45x3โ3x2โ19x+45๐ฅ3โ3๐ฅ2โ19๐ฅ+45x3+5x2โ19xโ45๐ฅ3+5๐ฅ2โ19๐ฅโ45x3โ3x2+9x2โ10xโ45
Solution
To find the product of the given polynomials, we need to multiply them together.
Step 1: Multiply (xโ5) and (x^2+2xโ9)
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 (xโ5)(x^2+2xโ9) is x^3 - 3x^2 - 19x + 45.
Looking at the options, the correct answer is: x^3 - 3x^2 - 19x + 45.
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