Answer:
multilple
Step-by-step explanation:
A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.
(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)
Answer:
Step-by-step explanation:
First let's find the value of 'p-q':
To find |p-q| (module of 'p-q'), we can use the formula:
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
Now, we need to find the module of p and the module of q:
Then, evaluating |p-q|-{|p|-|q|}, we have:
Answer:
10) 44° (nearest degree)
11) 136.6 units² (nearest tenth)
12) 47.8 units² (nearest tenth)
Step-by-step explanation:
Please see the attached pictures for the full solution.
Answer:
-23x^3+20x^4+25x^2+84x-84
Step-by-step explanation:
1 Expand by distributing sum groups.
4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)
2 Expand by distributing terms.
12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)
3 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)
4 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84
5 Remove parentheses.
12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84
6 Collect like terms.
(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84
7 Simplify.
-23x^3+20x^4+25x^2+84x-84