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Answer:
The answer in the attached figures
Step-by-step explanation:
we know that
When two lines are crossed by another line, the angles in matching corners are called Corresponding Angles. If the lines are parallel then the corresponding angles are congruent
see the attached figure N 1
When two lines are crossed by another line, the pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles. If the lines are parallel then the alternate interior angles are congruent.
see the attached figure N 2
Vertical Angles are the angles opposite each other when two lines cross
see the attached figure N 3
When two lines are crossed by another line, the pair of angles on the outer side of each of those two lines but on opposite sides of the transversal, are called Alternate Exterior Angles. If the lines are parallel then the alternate exterior angles are congruent.
see the attached figure N 4
When two lines are crossed by another line, the pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. If the lines are parallel then the consecutive interior angles are supplementary.
see the attached figure N 5
Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:
So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get:
The equation can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
