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algebra

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Use the discriminant to find out whether this quadratic polynomial can be factored. Factor the polynomial if it is not prime. This polnomial is prime, so I cannot factor it. I just need help with the discriminant part. Thaks in advance for your help.

4x^2-27x+45

  • algebra - ,

    The discriminant is b^2 - 4 ac = 729 -720 = 9. Since the square root of that is an integer (3), the polynomial can be factored.

    The roots are (1/8)[27 +/-3] = 30/8 and 3

    4x^2-27x+45 = (x-3)(4x- 15) are the factors

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