There are many polynomials that fit the bill,
f(x)=a(x-r1)(x-r2)(x-r3)(x-r4) where a is any real number not equal to zero.
A simple one is when a=1.
where r1,r2,r3,r4 are the roots of the 4th degree polynomial.
Also note that for a polynomial with *real* coefficients, complex roots *always* come in conjugages, i.e. in the form a±bi [±=+/-]
So a polynomial would be:
f(x)=(x-(-4-5i))(x-(-4+5i))(x--2)(x--2)
or, simplifying
f(x)=(x+4+5i)(x+4-5i)(x+2)^2
=x^4+12x^3+77x^2+196x+164 [if you decide to expand]
To solve the inequality, you need to isolate/get x by itself:
171 > -6x Divide -6 on both sides [dividing/multiplying a negative number on
-28.5 < x [dividing/multiplying a negative number in an inequality causes the sign (<, >, ≤, ≥) to flip]
-28.5 < x [x is a number greater than -28.5]
So your graph should have an open circle at -28.5 (the first small line next to -28), and the arrow pointing to the right since x is greater than -28.5 (increasing) The 1st option is your answer
[use the o---> and put it at -28.5]
Hello there!
By a over 6, I assume you mean a / 6? And by the wording, I assume 3 is outside of the fraction.
For the three outside the fraction,
(a / 6) + 3
(48 / 6) + 3
8 + 3
= 11
Hoped this help! If you have any more questions or need any more assistance, don't hesitate to friend me and message me! I can provide a mini lesson and a in-depth explanation as to what I did and why.
I do not know the full question being asked, but if he reads 3/4 chapters in 4/5 hours, he would read 6/4 chapters, or 1 1/2 chapters in 1 3/5 hours.
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