Question

Verify 5 and -3 are the zeroes of polynomial x2 + 2x-15, and
check relation between zeroes and coefficients.​

Answer 1

Answer:

No, $5$ and $-3$ are not the zeroes of $x^{2} +2x-15$.

Step-by-step explanation:

If $5$ and $-3$ are the zeroes of the given polynomial , then it must satisfy

$(x-5)(x+3)=p(x)$

So,

$(x-5)(x+3)=x^{2} -5x+3x-15$

                      $=x^{2} -2x-15$

which is not the given polynomial.

therefore $5$ and $-3$ are not the zeroes of $x^{2} +2x-15$.

instead, $-5$ and $3$ are the zeroes of $x^{2} +2x-15$,   because

$(x+5)(x-3)=x^{2} +5x-3x-15=x^{2} +2x-15$.

hence the answer

thank you

Answer 2

Wrong

The zeros of the polynomial are -5 and +3

X^2+2x-15=0
X^2+5x-3x-15 =0
X(x+5)-3(x+5)
X+5=0,x-3=0
X=-5,x=+3

So the zeros of the given polynomial is -5 and +3 ( not 5 and -3 )