Can someone pleaseeee help and if you’re correct i’ll give brainliest
1 answer:
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Given:
The leading coefficient of a polynomial is 8.
Polynomial roots are 1 and 2.
The graph passes through the point (4,5).
To find:
The 3rd root and the equation of the polynomial.
Solution:
The factor form of a polynomial is:
Where, a is a constant and are the roots of the polynomial.
Polynomial roots are 1 and 2. So, and
are the factors of the polynomial.
Let the third root of the polynomial by c, then is a factor of the polynomial.
The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:
The graph passes through the point (4,5). Putting , we get
Divide both sides by 48.
Therefore, the 3rd root on the polynomial is .
Answer:
-8=2x-y get this into y=mx+b form to find the y-intercept
-y=-2x-8
y=2x+8
the y-intercept is 8 so it passes through (0,8)
to find the x-intercept, set y to equal zero
0=2x+8
-8=2x
x=-4
the x-intercept is -4 so it passes through (-4,0)
the slope is 2 based on the slope-intercept form
