5x^2+8x+3 find zero
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Answered by
5
Answer:
-1, -3/ 5
Step-by-step explanation:
Zeroes of a polynomial are the values of x for which the value of polynomial{f(x)} is zero.
Let f(x) = 5x² + 8x + 3
Rationalizing f(x)
For rationalizing, we break down the middle term in such a way that it is equal to the sum of two numbers which form the product of the other two terms.
=> 5x² + 5x + 3x + 3
=> 5x(x + 1) + 3(x + 1)
=> (x + 1)(5x + 3)
Placing this equal to zero.
(x + 1)(5x + 3) = 0
either
x + 1 = 0
x = -1
or
5x + 3 = 0
x= -3/ 5
Therefore, the zeroes of the given polynomial are -1, and-3/ 5.
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