Rewrite the expression as a product of four linear factors: (x^(2)-7x)^(2)+4(x^(2)-7x)-96 Answer:

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Rewrite the expression as a product of four linear factors:  (x^(2)-7x)^(2)+4(x^(2)-7x)-96 Answer:

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Identify and Recognize Quadratic Form: Identify the given expression and recognize that it resembles a quadratic in form, where the variable part is (x^2 - 7x) instead of x. The expression is: (x^2 - 7x)^2 + 4(x^2 - 7x) - 96Make Simplification Substitution: Let's make a substitution to simplify the expression. Let u = x^2 - 7x. The expression then becomes: u^2 + 4u - 96 This is a quadratic equation in terms of u.Factor Quadratic Equation: Factor the quadratic equation u^2 + 4u - 96. We need to find two numbers that multiply to -96 and add up to 4. These numbers are 12 and -8. So, the factored form is (u + 12)(u - 8).Substitute Back and Factor: Now, substitute back x^2 - 7x for u in the factored expression to get: (x^2 - 7x + 12)(x^2 - 7x - 8)Factor First Quadratic: We now need to factor each quadratic. Starting with x^2 - 7x + 12, we look for two numbers that multiply to 12 and add up to -7. These numbers are -3 and -4. So, the factored form is (x - 3)(x - 4).Factor Second Quadratic: Next, factor x^2 - 7x - 8. We look for two numbers that multiply to -8 and add up to -7. These numbers are -8 and 1. So, the factored form is (x - 8)(x + 1).Combine Factors for Final Expression: Combine the factors from the previous steps to write the expression as a product of four linear factors: (x - 3)(x - 4)(x - 8)(x + 1)

Rewrite the expression as a product of four linear factors: $\newline$ $\left(x^{2}-7 x\right)^{2}+4\left(x^{2}-7 x\right)-96$ $\newline$ Answer:

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Rewrite the expression as a product of four linear factors:\newline(x2−7x)2+4(x2−7x)−96 \left(x^{2}-7 x\right)^{2}+4\left(x^{2}-7 x\right)-96 (x2−7x)2+4(x2−7x)−96\newlineAnswer:

Rewrite the expression as a product of four linear factors: $\newline$ $\left(x^{2}-7 x\right)^{2}+4\left(x^{2}-7 x\right)-96$ $\newline$ Answer: