A fourth degree polynomial has real roots at 0, 3, a double real root at -1, and passes through the point
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Hey there!
The slope-intercept form is shown in the photo I’ve attached
Hope this helps you!
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Since and
are roots of
, we can factorize the quadratic in terms of the roots as
Expanding the right side gives
so that
A polynomial with roots and
would be
and expanding this gives
Now,
and
So we can write the second quadratic in terms of as
and to make things look cleaner, scale the whole expression by to get