Real coefients
if a+bi is a root then a-bi is also a root
since 3-i is a root then 3+i s also a root
also the √7, so if √7 is a root then -√7 is also a root
so
f roots are r1 and r2 then the factored form is
f(x)=(x-r1)(x-r2)
roots are 3-i, 3+i and √7 and -√7
f(x)=(x-(3-i))(x-(3+i))(x-√7)(x-(-√7))
expanded
f(x)=x⁴-6x³+3x²+42x-70
Let's solve step by step
So all we need to do is simplify the equation
<span><span>(<span>5x − 8</span>)</span><span>(<span>2x + 4</span>)
</span></span><span>= <span><span>(<span>5x + −8</span>)</span><span>(<span>2x + 4</span>)
</span></span></span><span>= <span><span><span><span><span>(5x)</span><span>(2x) </span></span>+ <span><span>(5x)</span>(4) </span></span>+ <span><span>(−8)</span><span>(2x) </span></span></span>+ <span><span>(−8)</span><span>(4)
</span></span></span></span><span>= <span><span><span><span>10x^2 </span>+ 20x </span>− 16x </span>− 32
</span></span><span>= <span><span><span>10x^2 </span>+ 4x </span>− <span>32
Therefore the simplified form of this is </span></span></span>10x^2 + 4x − 32
Hope this helps! - Alyssa
(Please mark as Brianliest Answer, Thanks)
Answer:
The order :
45/90, 5/9,3/1
Step-by-step explanation:
45/90=0.5
5/9=0.555
3/1=3
Then the order :
45/90, 5/9,3/1
-8 because it falls under zero in the number line and the rest dont