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How to solve x^4 -10x^2 +9

1 Answer

5 votes

Answer:

(x² - 9)(x² - 1)

Explanation:

Using Quadratic trinomials

Factor x⁴ - 10x² + 9

Step 1: Find the two integers whose product of 9 and whose sum of -10

Product

-9 × -1 = 9

Sum

-9 + -1 = -10

Step 2: Use -1 and -9 to complete the factors

x⁴ - 10x² + 9 = (x² - 9)(x² - 1)

Step 3: Use the foil method to check the factors

(x² - 9)(x² - 1) = x⁴ - 1x² - 9x² + 9 = x⁴ - 10x² + 9

User Guillaume Paris
by
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