Question

If one zero is 4 and sum of zeroes is -3, then representation of tunnel as a
polynomials
(a) x2- x + 2
(b) - x2-3x + 24
(c) x2+ x + 28
(d) x2- x + 28

Answer 1

option b is wrong . Correct is -x2-3x+28 and this is the correct answer.

Answer 2

Answer:

The answer to the given question is

${x}^{2} + 3x - 28 \\ - {x}^{2} - 3x + 28$

Step-by-step explanation:

Given :

one zero is 4

the sum of zeros is -3.

To find :

representation of tunnel as a polynomial

solution :

The general form of the polynomial equation will be

${x}^{2} - x(sum \: of \: zeroes) + (product \: of \: the \: zeroes)$

Based on the option and the given data, the correct answer to the question is option b because the sum of zeroes is given as -3.

let's calculate manually

$\alpha = 4 \\ \alpha + \beta = - 3 \\ \beta = - 3 - 4 = - 7$

Therefore, the other zero is -7.

${x}^{2} - ( \alpha + \beta )x - \alpha \beta$

It is given that

$\alpha + \beta = - 3 \\ \alpha \beta = ( 4)( - 7) = - 28$

The equation using the sum and the product of the zeroes will be

${x}^{2} - ( - 3)x + ( - 28) \\ {x}^{2} + 3x - 28$

Therefore, the correct answer to the given question is

${x}^{2} + 3x - 28$

Hence, the above equation is the final answer

# spj3

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