Question

Find all the zeros of 3x4 – 10x3 + 5x2 + 10x – 8 if three of its zeros are 1, 2 and – 1.

Answer 1

Step-by-step explanation:

3x4-10x3+3x2+12x-4

Final result :

(3x - 1) • (x + 1) • (x - 2)2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((((3•(x4))-(10•(x3)))+3x2)+12x)-4

Step 2 :

Equation at the end of step 2 :

((((3•(x4))-(2•5x3))+3x2)+12x)-4

Step 3 :

Equation at the end of step 3 :

(((3x4 - (2•5x3)) + 3x2) + 12x) - 4

Step 4 :

Polynomial Roots Calculator :

4.1 Find roots (zeroes) of : F(x) = 3x4-10x3+3x2+12x-4