Question

The zeroes of a polynomial x² + 5x – 24 -are
(can you explain)​

Answer 1

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The zero of a polynomial means that what value should come in x so that the result of the equation is 0

To find the zero of this polymial, we take it equal to 0 :

${x}^{2} + 5x - 24 = 0$

${x}^{2} - 3x + 8x - 24 = 0$

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

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

Now we can see that if we substitue x = 3 or x = -8 we get 0. So 3 and - 8 are the zeros of this polymial.

Answer 2

Answer:

x²+5x-24 is a quadratic polynomial

means highest degree is 2 so we can

find its roots by doing factorization.

x²+5x-24=0

x²+8x-3x-24=0

(x²+8x) (-3x-24) =0

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

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

x+8=0 ; x-3=0

x= -8 ; x = 3

so, -8 , +3 are the roots of the polynomial x²+5x-24

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