Question

Determine whether (x-2) is a factor f the polynomial P(x) = 3x2 +6x - 24

Answer 1

Question:

Determine whether (x-2) is a factor f the polynomial P(x) = 3x^2 +6x - 24.

Solution:

Let, $\implies x - 2 = 0$

Then, $\implies x = 2$

So,

$p(x) = {3x}^{2} + 6x - 24$

$\implies {(3)(2)}^{2} + 6(2) - 24$

$\implies {6}^{2} + 12 - 24$

$\implies 36 + 12 - 24$

$\implies 48 - 24$

$\implies 24$

Hence,

The Answer is 24

Answer 2

Step By step Solution★

→ To Find Whether (x-2) is a factor of given polynomial.

So, g(x) = X-2

=> X-2 = 0

=> X = -2

→ Substituting the value of X in P(x)

=> p(x) = 3(-2)² + 6(-2) - 24

=> p(x) = 12 -12- 24

=> p(x) = -24

So, As P(x) ≠ 0

Therefore X -2 is not a factor of given Polynomial.....

★ Ans.......

Hope It Helps You....... :)