Answer:
A factor of polynomial P(x) is any polynomial which divides evenly into P(x)
Step-by-step explanation:
For example, x + 2 is a factor of the polynomial x2 – 4. The factorization of a polynomial is its representation as a product its factors.
Step-by-step explanation:
Find the product, sum and factors which are P=56, S=15 and F=8,7 respectively.
r²+15r+56=0
replacing with the factors in the equation
=> r²+8r+7r+56=0
r(r+8)+7(r+8)=0
(r+8)(r+7)=0
=> r= –8 and –7
Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
Answer:
-2 + 11h
Step-by-step explanation:
To simplify this equation, you can first combine like terms:
( -1 + -1 ) + ( -3h + -8h )
-2 + -11h
Notice that Given that 
is an ellipse, consider a conversion to polar coordinates:
The Jacobian for this transformation is
with determinant 
Then the integral in polar coordinates is
where you can evaluate the remaining integral by substituting 
and 
.
