Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) 
When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.
In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get
b) 
What are the common terms here?
It can be seen that each of these share a 2x, so our factored form would be
c) 
What about this one?
The common factor of this one is 5x, so our factored form would be
d) 
The common factor of this one is 
, so our factored form would be
Answer:
The smallest zero is -3.
Step-by-step explanation:
Dividing <em>f(x)</em> by 2<em>x</em> + 5 leaves the same remainder as division by <em>x</em> + 5/2. By the remainder theorem, it is equal to <em>f </em>(-5/2), so the remainder here is
<em>f</em> (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2
Answer:
y=-1/2x+5
Step-by-step explanation:
a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.
How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.
Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.
y=-1/2x+b
b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.
when the point's x value is 0, the y value is the y intercept.
Answer:
31
Step-by-step explanation:
