Write the expression x³+3x²+x-5 in terms of linear factors.
1 answer:
Answer:
i (x - 1) (x^2 + 4 x + 5)
ii (x-1)(x + (2 - i)) (x + (2 + i))
Step-by-step explanation:
To find the linear terms you have to factorize the polynomial.
Applying the difference of cubes, you find the first linear term. Using the quadratic formula you find the other linear terms.
As you may see the last terms are complex because the result of the square root is negative.
(x + (2 - i)) (x + (2 + i))
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The given conditional statement is : If 7<5, then 5<3.
Inverse: If 7≥5 then 5≥3 (The inverse is true)
Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)
Converse: if 5<3 then 7<5 (The converse is true)
From the properties of conditional statement we know that:
if p→q then
- inverse is :
- contrapositive:
- Converse:
Let us elaborate on the above conditions. Let us take two statement p and q such that If p happens then q also happens.
- The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"
- The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.
To learn more about conditional statements:
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