Question

the representation of hanging wires on the bridge whose sum of the zeroes is -3 and the product of zeroes is 5 is ​

Answer 1

POLYNOMIALS AND ZEROES

If $l$ be the sum of zeroes and $m$ be the product of zeroes of the polynomial $f(x)$, then it is given by

$\quad f(x)=x^{2}-lx+m$

Step-by-step explanation:

Given that the sum of zeroes is $(-3)$ and the product of zeroes is $5$.

Comparing with $f(x)$, we get

• $l=-3$ and $m=5$.

Putting the values in $f(x)$, we obtain the required polynomial

$\quad f(x)=x^{2}+3x+5$

Answer:

Therefore the representation of hanging wires on the bridge is given by $x^{2}+3x+5$.

Read more on Brainly.in

Zeros of polynomial x cube minus 2 x square + 3 x minus 4 is equals to

- https://brainly.in/question/16998254

Answer 2

SOLUTION

TO DETERMINE

The representation of hanging wires on the bridge whose sum of the zeroes is -3 and the product of zeroes is 5

CONCEPT TO BE IMPLEMENTED

If sum of the zeroes and product of the zeroes of a polynomial f(x) are given then the quadratic polynomial is given by

$\sf{f(x) = {x}^{2} - (Sum \: of \: the zeroes)x + Product \: of \: the \: Zeroes }$

EVALUATION

Here it is given that sum of the zeroes is -3 and the product of zeroes is 5

So the required polynomial is

$\sf{f(x) = {x}^{2} - (Sum \: of \: the zeroes)x + Product \: of \: the \: Zeroes }$

$\implies \sf{f(x) = {x}^{2} -( - 3)x + 5 }$

$\implies \sf{f(x) = {x}^{2} + 3x + 5 }$

FINAL ANSWER

The representation of hanging wires on the bridge whose sum of the zeroes is -3 and the product of zeroes is 5 is

$\sf{f(x) = {x}^{2} + 3x + 5 }$

━━━━━━━━━━━━━━━

Additional Information :-

A general equation of quadratic equation is

$a {x}^{2} + bx + c = 0$

Now one of the way to solve this equation is by SRIDHAR ACHARYYA formula

For any quadratic equation

$a {x}^{2} + bx + c = 0$

The roots are given by

$\displaystyle \: x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac } }{2a}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The graph of polynomial p(x) crosses the X-axis at (-4,0). What is the zero of p(x)?

https://brainly.in/question/24815693

2. If 1/2 is a root of the quadratic equation x²-mx-5/4=0 , then the value of m is?

https://brainly.in/question/21062028