the zero of the polynomial x square - 3 x - m (m + 3) are
Answers
Answer:
-m,-(m+3)
Step-by-step explanation:
its question of maths exam 2020, mcq
option d is correct
The zeros of the polynomial are - m , m + 3
Given :
The polynomial x² - 3x - m(m + 3)
To find :
The zeroes of the polynomial
Solution :
Step 1 of 2 :
Write down the given polynomial
Here the given polynomial is
x² - 3x - m(m + 3)
Step 2 of 2 :
Find zeroes of the polynomial
For zeroes of the polynomial we have ,
x² - 3x - m(m + 3) = 0
⇒ x² - 3x - m² - 3m = 0
⇒ x² - m² - 3x - 3m = 0
⇒ (x + m)(x - m) - 3(x + m) = 0 [ ∵ a² - b² = (a + b) (a - b) ]
⇒ (x + m)(x - m - 3) =0
Now ,
x + m = 0 gives x = - m
x - m - 3 = 0 gives x = m + 3
Hence zeros of the polynomial are - m , m + 3
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