what did you observe with the numerical coefficients of the x² term
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Answers
Answer:
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The numerical coefficient of x² term are constants.
Detailed Explanation:-
- Coefficients are the numbers that are placed with a variable in a polynomial and multiplies it.
For example 3x, here x is a variable and 3 is a numerical number that multiplies it. It is called coefficient of x.
3x is a linear polynomial as highest power is 1.
The polynomial in which the highest power of variable is 2 is called Quadratic polynomial.
The General form of quadratic equation is
ax²+bx+c=0
In this equation the variable terms are x² and x. c is a constant term.
- The term which multiplies the variables are coefficients.If it is a constant, it is known as numerical coefficient.
Like a is the coefficient of x² and b is coefficient of x.
Now consider the equation
5x²+3y+5=0
In this equation 5 is the coefficient of x² and 3 is coefficient of y.
Coefficient can also be a variable.
For example, in 3xy
3x is coefficient of y
Similarly 3y is coefficient of x.
But numerical coefficient is a constant multiplier.
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