Question

If x-2 is a factor of 2x2+3x-p then the value of p is

Answer 1

Answer:

for explanation pls refer to the picture attached

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Answer 2

Answer :

$\large{\star\:\:\boxed{\bf{p\:=\:14}}\:\:\star}$

Explanation :

Given :–

• 2x² + 3x - p is a Quadratic Polynomial .
• (x - 2) is a root of 2x² + 3x - p .

To Find :–

• Numerical Value of p .

Solution :–

⇒ g(x) = x - 2 = 0

⇒ x - 2 = 0

⇒ x = 2

Now we are given ,

⇒ p(x) = 2x² + 3x - p = 0

Putting the value of x = 2 :-

⇒ p(2) = 2(2)² + 3(2) - p = 0

⇒ 2(4) + 6 - p =0

⇒ p - 14 = 0

⇒ p =14

∴ The Value of p will be 14 .