Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer:
∠ B = 116°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ B + 28° + 36° = 180°
∠ B + 64° = 180° ( subtract 64° from both sides )
∠ B = 116°
Answer:
Q1.
AC is the greatest side, therefore is hypotenuse. AB and BC are legs.
B is 90 deg as the two legs cross at this point.
<u>Ratios:</u>
- sin = opposite / hypotenuse
- cos = adjacent / hypotenuse
- tan = opposite / adjacent
BC is opposite to A and adjacent to C
AB is adjacent to A and opposite to C
- sin A = cos C = 8/10 = 4/5
- cos A = sin C = 6/10 = 3/5
- tan A = cot C = 8/6 = 4/3
- tan C = cot A = 6/8 = 3/4
Q2.
a) Answered above
b) Answered above
Answer:
Pls be mentally strong and don't not take help if you want take help from your parents
