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Which of the binomal below is a factor of this trinomal x^2+7x+44

1 Answer

2 votes

Answer:

-7 ± i√127

x = -----------------

2

Explanation:

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x^2 + 7x + 44 has a parabolic graph that opens up and never intersects the x-axis. Thus, it has no real roots.

The coefficients of this polynomial are a = 1, b = 7, c = 44.

The discriminant is b^2 - 4ac, or 7^2 - 4(1)(44) = -127. As expected, this is negative, confirming that the roots are complex.

The roots are:

-7 ± i√127

x = -----------------

2

User Kaps Hasija
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