Question

show that -2/3and3/5are the zeros of the polynomial 15x2+x-6
answer fastely please​

Answer 1

Answer:

If -2/3 and 3/5 are the zeros, they give 0 when

they are put in the polynomial.

*Definition Of Zeros

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Put $x=-\frac{2}{3}$ into the polynomial.

→ $15\times\frac{4}{9} -\frac{2}{3} -6$

→ $\frac{20}{3} -\frac{2}{3} -6$

→ $\frac{18}{3} -6$

→ $0$

Zero. Therefore -2/3 is a zero.

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Put $x=\frac{3}{5}$ into the polynomial.

→ $15\times \frac{9}{25} +\frac{3}{5} -6$

→ $\frac{27}{5} +\frac{3}{5} -6$

→ $\frac{30}{5} -6$

→ $0$

Zero. Therefore 3/5 is a zero.

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Hence shown!