Answer:
(A) - (5)
(B) - (4)
(C) - (1)
(D) - (2)
Step-by-step explanation:
(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]
(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.
(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).
(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.
(C) We are given the polynomial (x+3)(x−5)(x+2)²
(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.
(D) We are given the polynomial (x+2)²(x+1)²
(2) The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)
Answer:
<h3>
( - 1 , - 1 )</h3>
Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
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5x = - 5
Divide both sides of the equation by 5

Calculate

Again, Putting the value of x in equation ( ii ) in order t get the value of y

plug the value of x

Any expression multiplied by ( - 1 ) equals it's opposite

Calculate

Therefore, The possible solution of the system is the ordered pair ( x , y )

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Check if the given ordered pair is the solution of the system of equation


Simplify the equation


Since all the equalities are true, the ordered pair is the solution of the system.
<h3>
( x , y ) = ( - 1 , - 1 )</h3>
Hope this helps..
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