The correct option is (A) x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9
Explanation:
The product of two polynomials:
(x^3 + x^2 -3)(x^3 - 2x + 3)
Row1: x^6 x^5 -3x^3
Row2: -2x^4 -2x^3 6x
Row3: 3x^3 3x^2 -9
Add all of the above rows:
x^6 + x^5 - 3x^3 -2x^4 - 2x^3 + 6x + 3x^3 + 3x^2 -9
x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9 (Option A)
Given:
Point Q is on line segment PR.
QR = 3x, PQ = x + 6, and PR = 5x – 4.
To find:
The numerical length of PQ.
Solution:
Since, point Q is on line segment PR, so by segment addition property, we get





The value of x is 10.
Now,

Putting x=10, we get


Therefore, the numerical length of PQ is 16 units.
The bottom is (25 x 20) = 500 of whatever those units are, squared. Each long side is (25 x the depth of the pool, which we don't know), and each end is (20 x depth).
Given:
Anna departs from the city A with coordinates (1, 1) towards city B with coordinates (9, 11).
At the same time, Mary departs from city B towards city A.
To find:
The coordinates of point C, where Anna and Mary meet, if they are moving at the same speed.
Solution:
They are moving at the same speed at the same time but in the opposite direction. So, they will cover equal distance and the they will meet at the midpoint of A and B.
C is the midpoint of A and B.




Therefore, the coordinates of point C are (5,6).