Question

the zeroes of a polynomial x²+5x-24 are​

Answer 1

Answer:

-8 and 3

Step-by-step explanation:

x^2+5x-24=0

x^2+8x-3x-24=0

x(x+8)-3(x+8)=0

(x+8)(x-3)=0

so x=-8 and x=3

Answer 2

Answer:

- 8 and 3

Step-by-step explanation:

To know the roots of a polynomial we have to factorise it and know it's factors.

x²+5x-24

= x² + 8x -3x -24

= x(x+8) -3(x+8)

= (x+8) (x-3)

So now the two factors of x²+5x-24 are (x+8) (x-3)

On comparing the factors with zero we find the value of x or the 'zeroes'

x+8=0

x= -8

Similarly

x-3= 0

x= 3

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