Question

Obtain all other zeroes of the polynomial x⁴-17x²-36x-20 if two of its zeroes are +5 and -2.​

Answer 1

Step-by-step explanation:

p(x) = x² - 17x² - 36x - 20 Let its roots be a, 3, 5 and -2. comparing p(x) with ax²+bx³ + x² + dx + e,

we get,

a = 1, b = 0, c = -17, d = -36, e = −20 -b Now, a+B+5+ (-2) = 0 = a

⇒ a + B = -3.... (A)

And product of roots,

aß × 5 × e 20

a

⇒aß = 2 (B)

From (A) and (B), we get that a and B

are

-1 and -2.

Hence, zeroed of given polynomial are,

5,-1, -2,-2

Answer 2

$\huge\tt{❥Answer}$

5,-1,-2,-2