Answer:
x^4 -53x^2 +108x +160
Step-by-step explanation:
If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...
p(x) = (x +8)(x +1)(x -4)(x -5)
Multiplying these out gives the polynomial in standard form.
= (x^2 +9x +8)(x^2 -9x +20)
We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.
= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)
= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160
p(x) = x^4 -53x^2 +108x +160
_____
The graph shows this polynomial has the required zeros.
Out of a single week it's 2/7. Out of a month it'd be 8/30 with only 30 days in a month. I hope this helps.
Among the four choices, theorems is the best possible answer. Postulate, by definition, is a statement that is assumed to be true without proof while theorems are true statements that can be proven. Both of these types of statements are used to justify geometrical equations, illustrations and statements.
Answer:
Solve it
Explain:
1
Combine multiplied terms into a single fraction
1
4
+
1
8
=
\frac{1}{4}x+18=x
41x+18=x
1
4
+
1
8
=