Use the discriminant to determine whether the given quadratic polynomial can be factored, then factor it if it is not prime. 10x² + 10x + 6 A) The expression is prime. B) (x + 10)(x + 6) C) (10x + 6)(x + 10) D) (10x + 10)(x + 6)

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The discriminant of a quadratic equation ax^2 + bx + c is given by b^2 - 4ac. For the given polynomial 10x^2 + 10x + 6, the discriminant is (10)^2 - 4(10)(6) = 100 - 240 = -140. Since the discriminant is negative, the quadratic equation does not have real roots and cannot be factored over the real numbers, making it prime.

Use the Discriminant to Determine Whether the Given Quadratic Polynomial