Math, asked by Pandaaastha2585, 1 year ago

Sum of zeros in polynomial x2+4x+8 is

Answers

Answered by knjroopa
17

Answer:

Step-by-step explanation:

Given Sum of zeros in polynomial x2+4x+8 is

If we take a polynomial and then a factor out of it we may get

 f(x) = p(x - a)(x - b)(x - c) and so on

here the roots are a, b, c where the polynomial is zero.

Now consider a quadratic equation ax^2 + bx + c

By adding the roots will be - b/a

here b = 4 and a = 1

  = - b / a = - 4 /1

So sum of roots of polynomial is - 4

Answered by DelcieRiveria
10

Answer:

The sum of zeros in polynomial x²+4x+8 is -4.

Step-by-step explanation:

The given polynomial is

x^2+4x+8

Using quadratic formula the zeroes of the polynomial are

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

Sum of the zeroes is

sum=\frac{-b+\sqrt{b^2-4ac}}{2a}+\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-2b}{2a}=-\frac{b}{a}

The sum of zeros in polynomial x²+4x+8 is

-\frac{b}{a}=-\frac{4}{1}=-4

Therefore the sum of zeros in polynomial x²+4x+8 is -4.

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