Question

If 4 is a zero of the cubic polynomial x3 - 3x2 - 10x + 24, find its other two
zeroes.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The other zeros for thr given cubic polynomial are 2 and -3

Step-by-step explanation:

Given that the cubic polynomial is $x^3-3x^2-10x+24$

And also given 4 is a zero of the given polynomial

To find the other two zeros of the given polynomial :

By using the synthetic division we can find the zeros

First equate the given cubic polynomial to zero

$x^3-3x^2-10x+24=0$

Since 4 is a zero of the given polynomial we have

4_|   1     -3    -10     24

       0     4      4     -24

 ____________________

       1       1     -6      0

Therefore the quadratic equation is $x^2+x-6=0$

• $(x-2)(x+3)=0$
• x-2=0 or x+3=0
• x=2 and x=-3

Therefore the other zeros are 2 and -3