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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This line has a slope of
1
2
(same as the first one), but a different y-intercept. These two lines are parallel.
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Slope equals the change in the vertical (Y value) divided by the change in the horizontal (X value), the slope of a horizontal line is zero and equation of line is Y =12. So option C is correct.
<h3>What is equation of line?</h3>
A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept.
Here,
Since the Y-axis is vertical, a line perpendicular to it would be horizontal.. The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.
If we start with the slope-intercept form of an equation of a line
Y = mX + b,
we can write Y = 0X + (12)
Y =12
Slope is the vertical change (Y value) divided by the horizontal change (X value); the slope of a horizontal line is zero, and the equation of the line is Y =12.
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27 and 64 lmk if it’s wrong