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20 votes
20 votes
Factor the expression completely.

x^4-11x^2+28
x
4
−11x
2
+28

User TheBasicMind
by
2.8k points

1 Answer

17 votes
17 votes

Answer:

(x² - 7)(x² - 4)

Explanation:

We can actually factor this the same way we would solve a normal quadratic equation. We will end up with the factored terms have squares of x instead of just x.

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

User Ben Reierson
by
3.6k points