Question

please help me to find these answers.......find the zeros of the polynomial given below and verify the relationship between the zeros and its coefficients a) 5y×y+10y​

Answer 1

$\huge{\mathcal{\blue{\underline{\underline{\pink{HeYa!!!}}}}}}$

${\large{\purple{\mathbb{ANSWER}}}}$

☆ To Verify:-

▪︎ Sum of zeroes

= coefficient of x/coefficient of x² (-b/a)

▪︎ Product of zeroes

= constant term/coefficient of x² (c/a).

☆ Given:-

=》5y×y + 10y.

= 5y² + 10y.

= 5y(y + 2) = Factors.

☆ Therefore,

=》 5y(y + 2) = 0

=》 Either

=》 5y = 0

=》 y = 0/5.

${\large{\blue{\boxed{\bold{=》\:y\:=\:0.}}}}}$

▪︎ Or,

=》 y+2 = 0.

=》 y = 0-2.

${\large{\blue{\boxed{\bold{=》\:y\:=\:-2.}}}}}$

Therefore the zeroes are 0 and -2.

${\red{\large{\underline{\underline{Verification:-}}}}}$

☆ Here,

▪︎ Sum of zeroes,

= -2+0

${\large{\orange{\boxed{\bold{=\:-2.}}}}}$

And

-b/a

= -(10/5)

${\large{\orange{\boxed{\bold{=\:-2.}}}}}$

▪︎ So, sum of zeroes

= -b/a.

☆ Again,

▪︎ Product of zeroes,

= 0×(-2).

${\large{\orange{\boxed{\bold{=\:0.}}}}}$

▪︎ And,

c/a

= 0/5

${\large{\orange{\boxed{\bold{=\:0.}}}}}$

▪︎ So product of zeroes = c/a.

$<marquee>Hence Verified</marquee>$

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