in the standard form of quadratic polynomial, ax2 + bx + c, a, b and c are:
1) All Are Polynomials
2) All Are Rational
3) 'A' is Non Zero Real Number And B And C Are Any Polynomial.
4) All Are Integers.
Answers
Answer:
a, b and c all are real numbers and a is not equal to zero. Option 3 is the correct answer but there is a small mistake - b and c are not any polynomial but instead they are real numbers.
SOLUTION
TO CHOOSE THE CORRECT OPTION
In the standard form of quadratic polynomial, ax² + bx + c , a, b and c are
a) All are real numbers.
b) All are rational numbers.
c) ‘a’ is a non zero real number and b and c are any real numbers.
d) All are integers.
EVALUATION
Here we have to find the standard form of quadratic polynomial
Let x be the variable involved
Since it is a quadratic polynomial
So the highest power of its variable that appears with nonzero coefficient is 2
Because it is a quadratic polynomial
So coefficient of x² is non zero
It is a real polynomial
So a , b , c are all real numbers
FINAL ANSWER
Hence the correct option is
c) ‘a’ is a non zero real number and b and c are any real numbers.
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