Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100
The factors of the quadratic equation is (x + 1) and (x - 6)
Given,
The quadratic equation; -2x² + 10x + 12
We have to find the factors of this equation using quadratic formula;-
Quadratic formula;- 
Here,
a = -2, b = 10 and c = 12
Now,
=
=
= (-10±14) ÷ -4
Solve for,
- 10 + 14 / -4 = -4/4 = -1
That is, (x + 1)
Solve for,
- 10 - 14 / -4 = -24/-4 = 6
That is, (x - 6)
Therefore, the factors for the given quadratic equation is (x + 1) and (x - 6)
Learn more about quadratic formula here;
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Answer:
Amount they ate is 6/8 or 3/4 of the pizza
Amount left over is 2/8 or 1/4 of the pizza.
Step-by-step explanation:
your family at 6 out of 8 pieces and simplified thats 3/4 if you divide both by 2
so the pieces left over would be 2 pieces or 2 out of the 8 pieces are left over.
making your fraction 2/8
Now you simplify and you can divided both 2 and 8 by 2
Making your other fraction 1/4
The meter is the SI unit of measurement for length.
Answer:
x=72°
Step-by-step explanation:
given,
DEF=216°
DF =360-216
the value of x=144/2( inscribed angle is half of its arc)
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