Question

The zeroes of a polynomial x² +5x - 24 are
a. one positive and one negative
b. both positive
c. both negative
d. both equal​

Answer 1

Answer:

a.one positive and one negative

Answer 2

$Given \: Quadratic \: polynomial :\\p(x)= x^{2}+5x-24$

/* To find zeroes of the polynomial ,take p(x) = 0 */

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

/* Splitting the middle term , we get */

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

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

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

$\implies x + 8 = 0 \:Or \: x - 3 = 0$

$\implies x = -8 \:Or \: x = 3$

$\therefore -8, 3 \: are \ : zeroes \: the \: polynomial$

$Option \: \pink { ( a ) } \: is \: correct.$

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