Question

write the polynomial p(x)=x square -4 as the product of two first degree polynomial​

Answer 1

Answer:

the value of x is 2

Step-by-step explanation:

because

xsquare - 4 =0

xsquare=4

x=2

Answer 2

The polynomial p(x) = x² – 4 can be written as the product of two first degree polynomial as (x + 2)(x – 2).

Given: p(x) = x² – 4

To find: The polynomial p(x) = x² – 4 as the product of two first degree polynomial.

Solution:

• Polynomial: A polynomial is a mathematical statement made primarily of coefficients and variables that utilizes only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. In short, a polynomial can be expressed as the sum of more than two algebraic terms, particularly when those terms each contain a distinct power of the same variable.

We are given,

Polynomial p(x) = x² – 4

We can write 4 as (2)² also,

⇒ p(x) = x² – 4

⇒ p(x) = x² – (2)²

We are aware of the formula (a² – b²) i.e.,

(a² – b²) = (a + b)(a – b)

Here,

We can use this formula of (a² – b²), where, a = x and b = 2

Therefore,

⇒ p(x) = x² – (2)²

⇒ p(x)= (x + 2)(x – 2)

Thus, the polynomial p(x) = x² – 4 can be written as the product of two first degree polynomial as (x + 2)(x – 2).

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