Question

Please answer all the questions
class 9​

Answer 1

Step-by-step explanation:

♡Required Answers:

1. (C)

2. (A)

3. (C)

4. (A)

5. (C)

6. (D)

♧CONDITION TO BE A POLYNOMIAL:

All the exponents of variables in the algebraic expression must be non-negative integers in order for the algebraic expression to be a polynomial.

$\large\mathrm{ {x}^{ \red{- }2} + 3x \: \: \: is \: \red{not} \: a \: polynomial.}$

x² + 3x is a polynomial.

♧CONDITION TO BE A QUADRATIC POLYNOMIAL:

• ax²+ bx + c is a quadratic polynomial, where a is not equal to 0 .

0x² + 2x + 3 is not a quadratic polynomial.

x² + 2x + 3 is a quadratic polynomial.

• The highest exponent of the variable is always 2.

• The exponents of the variables are always positive integers.

$\mathrm{ {x}^{ \red{ -2}} + 3x + 6 \: \: is \: \red{not }\: a \: quadratic \: polynomial.}$

$\mathrm{{x}^{ \green2} + 3x + 6 \: is \: a \: quadratic \: polynomial.}$

• Exponents cannot ever be in the form of p/q in any polynomial, where q is not equal to zero and HCF of p & q = 1 .

$\large{ \mathrm { {x}^{2} + \red{\sqrt{x} }+ 5x \: is \: not \: a \: quadratic \: polynomial.} }\\\large{ \mathrm{ ∵\sqrt{x} = {x}^{ \red{\frac{1}{2} } }}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$