The answers for one, two, and three are:
False
True
True
Given that a polynomial function P(x) has rational coefficients.
Two roots are already given which are i and 7+8i,
Now we have to find two additional roots of P(x)=0
Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.
conjugate of a+bi is given by a-bi
So using that logic, conjugate of i is i
also conjugate of 7+8i is 7-8i
Hence final answer for the remaining roots are (-i) and (7-8i).
Answer:
• The function is a linear function
• The function changes at a constant rate
Step-by-step explanation:
A graph of the function shows it to be a straight line (linear function). Such a function always changes at a constant rate. The line goes downward to the right, so the function is a decreasing function.
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"changes at a constant rate" and "linear function" are two different ways of saying the same thing: the graph of the function is a straight line.
Hey!
A function in slope-intercept form would look like y=mx+b; with the x and y values on the opposites of the equation.
A function in standard form would look like ax+by=c; with the x and y values on the same side of the equation.
Hope this helps!
Gradient =2 because the slope is 2 units. Y-intercept = -2 because it crosses the y-line at -2.
