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Factor out (x+4) 5x^2(x+4)-7(x+4)

Sagot :

mariegrippon12

Answer:

Step-by-step explanation:

Solution:

x4 -5x2 +4

(x2-4)(x2-1)

(x+2)(x-2)(x+1)(x-1)

Explanation:

In order to factor a trinomial, we find two numbers whose product is ac and whose sum is b.

In the case of  x4 -5x2 +4, these numbers would be -4 and -1. We use x2 for each factor in order to account for the x4 and -5x2. A this point, we notice that x2-4 is a difference of squares that factors to (x+2)(x-2) and x2-1 is also a difference of squares that factors to (x+1)(x-1). So our final answer in factored form is (x+2)(x-2)(x+1)(x-1).

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