Zero of polynomial 4x+3 is
Answers
Answer:
Hey
Here is ur answer
P(x) = 4x2- 4x-3
By using splitting middle term method we get
4x2-6x+2x-3
=2x(2x-3)+ 1(2x-3)
=(2x+1)(2x-3) =0
x= -1/2 and x = 3/2
let alpha = -1/2 and beta = 3/2
Alpha + beta = -1/2+3/2
Alpha + beta = 2/2= 1 ➖ (1)
Now
- coefficient of x/coefficient of x2= -(-4)/4 = 1 ➖ (2)
From equation 1 and. 2
We get
Alpha + beta =. - coefficient of x/coefficient of x2
Now
Alpha*beta = -1/2*3/2= -3/4➖ 3
Constant term/coefficient of x2= -3/4 ➖ 4
From equation 3 and 4 we get
Alpha * beta = constant term/coefficient of x2
Hope it helps you
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Answer:
Zero of the polynomial is -3/4.
Step-by-step explanation:
The zero of any polynomial is the value of the variable due to which the value of the polynomial becomes zero.
Non zero constant polynomial has no zero.
Every real number is a zero of a zero polynomial.
Example: Are 2 and -2 zeroes of the polynomial x+2 or not?
Solution : p(x)=x+2
p(2)=2+2=4
p(-2)=-2+2=0
Hence -2 is the zero of the polynomial but 2 is not the zero of the polynomial.
It is not necessary that the zero of the polynomial is zero. Zero can be the zero of the polynomial. Every linear polynomial has one and only one (unique) zero. A polynomial can have more than one zero.The higher the power of a polynomial, the more zeroes it has.
Zero of the polynomial 4x+3:
4x+3 = 0
4x = -3
x= -3/4
Hence the zero of the polynomial is -3/4.