Question

Q)${\sf{if \:(x-2✓3)\: is\: a \:factor \:of\: polynomial}}$${\sf{ \:x^2-✓3x-a\: then\: the \:value\: of \: ✓(a-2)}}$

Ques is complete
Ch Polynomials
Class 10 ​

Answer 1

Assumption:

I read through other questions of Diya4Rakhi and I could comprehend this question as follows:

if (x - 2√3) is a factor of polynomial x² - √3x - a then find the value of √(a-2)

Answer:

2

Step-by-step explanation:

When (x - 2√3) is a factor of polynomial p(x) = x² - √3x - a, then 2√3 is zero of the polynomial

∴ p(2√3) = 0

⇒ (2√3)² - √3x(2√3) - a = 0

⇒ 4x3 - 3x2 - a = 0

⇒ 12 - 6 - a = 0

⇒ a = 6

∴ √(a - 2)

= √(6 - 2)

= √4 = 2