Question

write this second degree polynomial as product of two first degree polynomials
$x { }^{2} - 4$
​

Answer 1

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given question,

To find the value of second degree polynomial i.e.

${x}^{2} - 4$

as the product of two first degree polynomials.

Solution:

$= {x}^{2} - 4$

$= {(x)}^{2} - {(2)}^{2}$

Since,

${a}^{2} - {b}^{2} = (a + b)(a - b)$

Hence,

= (x + 2) (x - 2)

Result,

Hence,

${x}^{2} - 4$

Is the product of two first degree polynomials i. e.

(x + 2) (x - 2)) (Ans)

Answer 2

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(x + 2) (x - 2)

Step-by-step explanation:

Given question,

To find the value of second degree polynomial i.e.

{x}^{2} - 4x

2

−4

as the product of two first degree polynomials.

Solution:

= {x}^{2} - 4=x

2

−4

= {(x)}^{2} - {(2)}^{2}=(x)

2

−(2)

2

Since,

{a}^{2} - {b}^{2} = (a + b)(a - b)a

2

−b

2

=(a+b)(a−b)

Hence,

= (x + 2) (x - 2)

Result,

Hence,

{x}^{2} - 4x

2

−4

Is the product of two first degree polynomials i. e.

(x + 2) (x - 2)) (Ans)