find the roots of x 3 8x 2 25x 26 X 3 8x 2 25x 26 Final result x2 6x 13 x 2 Step by step solution Step 1 Equation at the end of step 1 x3 23x2 25x 26 Step 2 Checking for a perfect cube x 3
To find the roots factor the function set each facotor to zero and solve The solutions are the roots of the function Since is a known root divide the polynomial by to find the quotient polynomial This polynomial can then be used to find the remaining roots
find the roots of x 3 8x 2 25x 26
find the roots of x 3 8x 2 25x 26
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Since is a known root divide the polynomial by to find the quotient polynomial This polynomial can then be used to find the remaining roots To find the zeros of the polynomial f x x 3 8x 2 25x 26 we can use numerical methods or libraries to find the roots In Python we can use the numpy library s roots function
By Factor theorem x k is a factor of the polynomial for each root k Divide x 3 8x 2 25x 26 by x 2 to get x 2 6x 13 Solve the equation where the result equals to 0 Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more
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The roots are the intercepts with the x axis y 0 x 3 8 x 2 25 x 26 0 Factor x 3 8 x 2 25 x 26 x 2 x 2 6 x 13 x 2 x 2 6 x 13 0 Substitute the possible roots one by one into the polynomial to find the actual roots Start first with the whole numbers We can see that p left 2 right 0 so x 2 is a root of a
The Factor Theorem states that if P Q is root of a polynomial then this polynomial can be divided by q x p Note that q and p originate from P Q reduced to its lowest terms In our case this The polynomial equation is 1 x 3 8x 2 25x 26 0 The integer factors of the constant 26 are 26 13 2 1 The integer factors of the leading coefficient 1 are 1
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