Question

find a quadratic polynomial whose zeros and product respectively of the zeros are 2 root 3 and minus 9 also find the zeros of polynomial by factorization

Answer 1

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Brainly.in

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Secondary School Math 49points

-2^3,-9 find a quadratic polynomial whose sum and product respectively of the zeros are is given also find the zeros of these polynomials by factorization

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mysticd

mysticd Genius

Hi ,

Let m , n are two zeroes of a quadratic

polynomial ,

It is given that

sum of the zeroes = m + n = -2³ = -8

product of the zeroes = mn = -9

Now , form of a quadratic polynomial whose

zeroes are m , n is

p ( x ) = x² - ( m + n )x + mn

= x² - ( -8 )x + ( -9 )

= x² + 8x - 9

I hope this helps you.

: )

Answer 2

correction:this question contain mistakes,going by the previous question of this user whose correct Sol this user didn't get . the word "zeroes" after "whose" should be replaced by 'sum' then probably this q makes sense .

Step-by-step explanation:

sum of zeroes(A+B) = 2√3

product (AB) = -9

obtained quadratic polynomial is

x^2 - x(A+B) + AB = 0

x^2 - 2√3x - 9 = 0

x^2 - 3√3x + √3x - 9 = 0

x(x - 3√3) +√3 (x - 3√3) = 0

(x + √3) (x - 3√3) = 0

x = -√3 , 3√3

therefore, zeroes of the polynomial are

- √3 and 3√3 Answer