Question

Which of the following is the respective quadratic polynomial whose zeroes
are 5 + 12 and 5 - V2.
(a) k(x² - 10x +23)
(b) (x +10 x +23)
(c)k (x² -10 x-23)
(d)K (x² +10x -23)​

Answer 1

Answer:

option a)k(x² - 10x +23)

Step-by-step explanation:

k(x²- 10x +23)

kx² - 10kx +23k

here , a=k, b=-10k, c=23

to find zeroes

x= (-b+-√(b^2-4ac)) /2a

x=(10+-√(100-92))/2

=(10+-√8)/2

=(10+-2√2)/2

=5+-√2

i.e.5+√2 or 5-√2

hence, option a is correct.