Answer:
x³ + 2x² -3x +6
Step-by-step explanation:
We need to find the polynomial whose roots are ,
Say of we have zeroes as , α , β and γ , then the polynomial is ,
=> p(x) = k[ (x - α ) ( x - β) ( x - γ) ]
- where k is constant. Substituting the respective values , we have ,
=> p(x) = k [ ( x - (-2)) ( x - √3) ( x -√3)]
=> p(x) = k[ (x+2)(x² - 3)]
=> p(x) = k[ x(x² - 3) + 2(x² - 3) ]
=> p(x) = k[ x³ - 3x + 2x² - 6 ]
=> p(x) = k[ x³ + 2x² - 3x - 6 ]
<h3>
<u>Hence </u><u>the</u><u> </u><u>cubic </u><u>polynomial</u><u> is</u><u> </u><u>x³</u><u> </u><u>+</u><u> </u><u>2</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>3x</u><u> </u><u>+</u><u> </u><u>6</u><u> </u><u>.</u></h3>
Answer:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Step-by-step explanation:
<h2>Answer:-</h2>

First, we need to add up the x.
We know that 4+8 = 12, so

Now, equating it to y,

Now, if I multiply
on both sides,
I get,
Now, as 12 got cancelled , I got the final answer as
Hope it helps :)
1. We need to get rid of those pesky parentheses. We do this by distributing the 3.
2. We need to get "n" by itself, so we add 9 to both sides.
3. Add like terms.
4. Now, we need to get rid of the -9, so we divide both sides by -9. Remember that dividing by negative numbers changes the direction of the "greater than or equal to" symbol.
5. We divide, and the negatives cancel.
I wrote the answer both ways so that I could tell what the number line needed to look like.
Answer: 26.34
Step-by-step explanation: