9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
Answer:
Step-by-step explanation:
Given
f(x) = 2x^2 - 3x
g(x) = -2x + 4
Now
f(-5) = 2 *(-5)^2 - 3*(-5)
= 2 * 25 + 15
= 50 + 15
= 65
Also
g(5) = - 2 * 5 +4
= -10 +4
= - 6
Hope it will help you.
Answer:
Step-by-step explanation:
The question is incomplete, as the graphs or equations of the lines are not given.
However, I will give a general explanation of calculating both intercepts
A linear equation is of the form:
Where:
y intercept
So, the equation
has 2 as its y-intercept
Set y to 0, to calculate the x-intercept
Collect like terms
Multiply by 3/2
So, the equation with the required criteria is:
