Answer:
B
Step-by-step explanation:
the product (2x² - 3x - 8)(3x² + 5x + 1) is required
multiply each term in the second factor by each term in the first factor.
= 2x²(3x² + 5x + 1) - 3x(3x² + 5x + 1) - 8(3x² + 5x + 1) ← distribute
= 6 + 10x³ + 2x² - 9x³ - 15x² - 3x - 24x² - 40x - 8
collecting like terms gives
6 + x³ - 37x² - 43x - 8 → B
Option a: is the length of b
Explanation:
The angle of B is and
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where ,
,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is
Hence, Option a is the correct answer.