Question

is(x-2) o factor of polynomial
P (X) =X² - 3x² +4X-4​

Answer 1

Correct Expression :- x³ – 3x² + 4x – 4.

To Find :-

Whether (x – 2) is a factor of this polynomial or not?

Solution :-

Factor of Polynomial = (x – 2) = 0.

So, The Value of x = 2.

Now, Substitute this value in the polynomial.

➨ x³ – 3x² + 4x – 4 = 0.

➨ (2)³ – 3(2)² + 4(2) – 4 = 0.

➨ 8 – 12 + 8 – 4 = 0.

➨ – 4 + 8 – 4 = 0.

➨ 8 – 8 = 0.

➨ 0 = 0.

Therefore,

It is a factor of the given polynomial.

Answer 2

${\huge{\underbrace{\rm{Answer\checkmark}}}}$

★ Given -

• Polynomial P(x) = x³ - 3x² + 4x - 4

★ To Find -

• Is , ( x - 2 ) a factor of the Polynomial ?

★ Solution -

As ,

$\longrightarrow \: \rm(x - 2) = 0$

$\implies \rm \: x = 2$

Put ( x = 2 ) in the given Polynomial..

$\longmapsto \rm \: {2}^{3} - 3( {2}^{2} ) + 4(2) - 4$

$\longmapsto \: 8 - 3 \times 4 + 8 - 4$

$\longmapsto \: 8 - 12 + 8 -4$

$\implies \: 0$

So ,

It is a factor of the given Polynomial...