Factor the following expression completely. x^(4)-x^(3)-90x^(2)-x^(2)+x+90 Answer:

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Factor the following expression completely.  x^(4)-x^(3)-90x^(2)-x^(2)+x+90 Answer:

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Identify like terms: Identify like terms in the expression x^4 - x^3 - 90x^2 - x^2 + x + 90 and combine them. Calculation: -90x^2 - x^2 = -91x^2 The expression becomes x^4 - x^3 - 91x^2 + x + 90.Combine like terms: Look for common factors in groups of terms. We can group the first three terms and the last three terms separately. Grouping: (x^4 - x^3 - 91x^2) + (x + 90)Group terms: Factor out the greatest common factor from the first group, which is x^2. Calculation: x^2(x^2 - x - 91) The expression now is x^2(x^2 - x - 91) + (x + 90).Factor out common factor: Notice that there is no common factor in the second group (x + 90), so we leave it as is. The expression remains x^2(x^2 - x - 91) + (x + 90).Factor quadratic: Now, we need to factor the quadratic x^2 - x - 91. Look for two numbers that multiply to -91 and add up to -1. Calculation: The numbers are -13 and 7 because -13 * 7 = -91 and -13 + 7 = -6. There is a mistake here; the numbers should add up to -1, not -6. We need to find the correct pair of numbers.

Factor the following expression completely. $\newline$ $x^{4}-x^{3}-90 x^{2}-x^{2}+x+90$ $\newline$ Answer:

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Factor the following expression completely.\newlinex4−x3−90x2−x2+x+90 x^{4}-x^{3}-90 x^{2}-x^{2}+x+90 x4−x3−90x2−x2+x+90\newlineAnswer:

Factor the following expression completely. $\newline$ $x^{4}-x^{3}-90 x^{2}-x^{2}+x+90$ $\newline$ Answer: