Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
Answer:
The zeros are : 0, 3, -6, 7.
Step-by-step explanation:
Zeros of a polynomial is the values at which the polynomial becomes zero. They are also called the roots of the polynomial.
When (x - a)(x - b) = 0, we can say that either (x - a) = 0 or (x - b) = 0. At least one zero renders the whole equation to be zero.
Now, we are given that: x. (x - 3). (x + 6). (x - 7) = 0
⇒ To make the equation zero, at least one of the following should be true:
x = 0
x - 3 = 0 ⇒ x = 3
x + 6 = 0 ⇒ x = -6
x - 7 = 0 ⇒ x = 7
Therefore, x can take any one of the above values and that would make the polynomial zero.
Answer:
C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.
Step-by-step explanation:
The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.
Tfgycg hcjg hg bgguvv hcjugb bybvh
Answer:
(0,0) is among the solutions
Step-by-step explanation:
The given inequality is 
A solution to this inequality is any ordered pair that satisfies the inequality.
Let us check for x=0 and y=0
We substitute to get:
....This is true.
Therefore (0,0) is a solution to the given inequality.
There are infinitely many solutions.
