Answer:
option D
Step-by-step explanation:
Jerry solved this equation:
In the first step , she multiplied 3 inside the parenthesis
1.
In step 2, 3/4 is added on both sides
2.
In step 3, we take LCD 12
3.
In step 4, add the fractions
4.
Here, 3 or 3/1 are same.
In step 5, to remove 3/1 we multiply both sides by 1/3.
Instead of multiplying 1/3 , Jerry made an error by multiplying 3/1
In step 5, he should have multiplied both sides by 1/3
Answer:
Equation of tangent will be
Step-by-step explanation:
We have given the function
We have to find the equation of tangent at the point
Equation of tangent is equal to
So
Now we have given point
So putting these points in the equation of tangent
Now equation of tangent passing through
Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.
Because we know 3 and -1 (multiplicity 2) are both roots, the last root is such that we can write
There are a few ways we can go about finding , but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be
.
Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have
so the missing root is 3.
Other things we could have tried that spring to mind:
- three rounds of division, dividing the quartic polynomial by , then by
twice, and noting that the remainder upon each division should be 0
- rational root theorem