How many no real complex roots does the polynomial f (x) = x^4 - x^2- 12 have? a. 0 b. 1 c. 2 d. 3 e. 4

f(x) factors as ...

... f(x) = (x² -4)(x² +3) = (x -2)(x +2)(x² +3)

The real roots are x = ±2.

The complex roots are x = ±i√3.

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We don't know what "no real complex roots" means. We suspect your answer may be C. 2.

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5