A) Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: 18
2 answers:
Answer:
(a)
(b)
Step-by-step explanation:
(a)
Let the polynomial be Q(x).
Given polynomial P(x) =
As per the given statement: A polynomial(Q(x)) which, when added to the polynomial , is equivalent to 18.
⇒
or
Simplify:
Therefore, the polynomial is,
Check:
=
=
= 18
(b)
Let the polynomial be Q(x).
Given polynomial P(x) =
As per the given statement: A polynomial(Q(x)) which, when added to the polynomial , is equivalent to 0.
⇒
or
Therefore, the polynomial is,
Check:
=
=
= 0
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Answer:
a) For this case we can use the fact that
And for this case since we ar einterested on and we know that the if we are below the y axis the sine would be negative then:
b) From definition we can use the fact that and we got this:
We can use the notabl angle and we know that :
Then we know that correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
Step-by-step explanation:
For this case we can use the notable angls given on the picture attached.
Part a
For this case we can use the fact that
And for this case since we ar einterested on and we know that the if we are below the y axis the sine would be negative then:
Part b
From definition we can use the fact that and we got this:
We can use the notabl angle and we know that :
Then we know that correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
