Make a conjecture: How many solutions does a quartic equation x 4 + ax 3 + bx 2 + cx + d = 0 have? Explain.
1 answer:
Answer:
Four
Step-by-step explanation:
The degree of a polynomial is the highest of the degree of the monomials with non-zero co-efficient. In this problem we are given the polynomial:
The degree of the polynomial is 4.
For a polynomial of <em>n- degree </em>we have <em>n solutions counting multiplicity</em>.
So for this four degree polynomial we would have 4 solutions. Could be real or complex depending on the equation.
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Answer:
Step-by-step explanation:
The polynomial given for simplification is:
Now, we combine like terms using the commutative property of addition.
The commutative property of addition states that:
So, the order can be shuffled when we add terms.
The terms containing 't' are grouped together and the constant terms are grouped together. This gives,
Now, we group them using associative property and converse of distributive property as:
Simplifying the above expression, we get:
Therefore, the simplified form is
Answer:
(B)25
Step-by-step explanation:
From the given diagram:
are on a straight line, and we know by the Linear Postulate that the sum of angles on a straight line is 180 degrees.
Therefore:
The correct option is B.