Factor: $x^ 2 + 7 x + 30$
A) (x +3)(x +10)
B) (x +3)(x - 10)
C) (x +10)(x - 3)
D) prime

Name: Factor: $x^ 2 + 7 x + 30$ A) (x +3)(x +10) B) (x +3)(x - 10) C) (x +10)(x - 3) D) prime
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Question

Factor: $x^ 2 + 7 x + 30$
A) (x +3)(x +10) 
B) (x +3)(x - 10) 
C) (x +10)(x - 3) 
D) prime

Quizplus · Accepted Answer

The quadratic $x^2 + 7x + 30$ cannot be factored into real linear factors because its discriminant ($b^2 - 4ac = 7^2 - 4 \times 1 \times 30 = 49 - 120 = -71$) is negative, indicating no real roots. Thus, it is prime over the real numbers.

Factor x2+7x+30x^ 2 + 7 x + 30x2+7x+30 A) (X +3)(x +10) B) (X +3)(x - 10)

Factor $x^ 2 + 7 x + 30$ A) (X +3)(x +10)
B) (X +3)(x - 10)