Maths Book back answers and solution for Exercise questions - Mathematics : Theory of Equations: Polynomials with Additional Information: Exercise problems with Questions, Answers, Solution, Explanation

EXERCISE 3.3

1. Solve the cubic equation : 2*x*3 - *x*2 -18*x *+ 9 = 0 if sum of two of its roots vanishes.

2. Solve the equation 9*x*3 - 36*x*2 + 44*x *-16 = 0 if the roots form an arithmetic progression.

3. Solve the equation 3*x*3 - 26*x*2 + 52*x *- 24 = 0 if its roots form a geometric progression.

4. Determine *k *and solve the equation 2*x*3 - 6*x*2 + 3*x *+ *k *= 0 if one of its roots is twice the sum of the other two roots.

5. Find all zeros of the polynomial *x*6 - 3*x*5 - 5*x*4 + 22*x*3 - 39*x*2 - 39*x *+135 , if it is known that1+ 2*i *and âˆš3 are two of its zeros.

6. Solve the cubic equations : (i) 2*x*3 - 9*x*2 +10*x *= 3 , (ii) 8*x*3 - 2*x*2 - 7*x *+ 3 = 0.

7. Solve the equation : *x*4 -14*x*2 + 45 = 0.

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Tags : Problem Questions with Answer, Solution , 12th Mathematics : UNIT 3 : Theory of Equations

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12th Mathematics : UNIT 3 : Theory of Equations : Exercise 3.3: Polynomials with Additional Information | Problem Questions with Answer, Solution

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