The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
<h3>What is polynomial?</h3>
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).
The polynomial equation given in the problem is,

Let the factor form of the polynomial is f(p). Thus,

Using the formula of difference of squares, we get,

Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
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Answer:
a
Step-by-step explanation:
the graphic is step by step
Answer:
Step-by-step explanation:
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Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
Answer:
y =
x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(x) = - 2x + 1 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y =
x + c
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y =
x + 5 ← equation of perpendicular line