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10. How Can the Polynomial X^wedge 2+10x+25 Be Factored? a (x+5)(x+5) B (x+2)(x+3) C (x-5)(x-5) D (x+10)(x+2)

Problemas

10. How can the polynomial x^wedge 2+10x+25 be factored? a (x+5)(x+5) b (x+2)(x+3) c (x-5)(x-5) d (x+10)(x+2)

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Respuesta

To factor the polynomial , we need to find two numbers that multiply to 25 (the constant term) and add up to 10 (the coefficient of the linear term).The numbers that satisfy these conditions are 5 and 5, since and .Therefore, the polynomial can be factored as .So, the correct answer is:a)