Question

- The two zeroes of a quadratic folyno-
mial are -4 and 6. Find
the sum and
product of the zeroes. What is the
value
of
coefficient b?
H​

Answer 1

Answer:

Sum and product of zeroes is 2 and -24 respectively.

Step-by-step explanation:

Given : Two zeroes are (-4) & (6)

To find : Sum and product of zeroes and coefficient of b.

Solution : Let the two zeroes be α and β respectively .

Therefore,

$\alpha = - 4 \\ \beta = 6$

we know that the polynomial is always in the form of

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

Therefore,

sum of the zeroes is

$\alpha + \beta \\ = ( - 4) + 6 \\ = - 4 + 6 \\ = 2$

Product of zeroes is

$\alpha \beta \\ = ( - 4)(6) \\ = - 24$

Therefore the sum and product of zeroes is (2) & (-24) respectively.

Now we know that we write every polynomial in standard form

$= ax {}^{2} + bx + c$

now here

$a = 1 \\ b = 2 \\ c = - 24$

Therefore the coefficient of b is X and the value of b is 2.

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