Question

1. in 2-x² + x³ the coefficient of x² is
2. the degree of 5t - 7 is
3. the value of p(x) =5x - 4x2 + 3 for X = 0 is
4. A rational number between 1/7 and 2/7 is
5. if the decimal representation of a number is​ non-terminating, non-repeating than the number is
6. in between two rational number there are rational numbers
7.if X + 1 is a factor of the polynomial 2x² + kx, than the value of k is:
8. the polynomial px² + qx + rx⁴ + 5 is a polynomial
9. if 3 + 5 - 8 = 0, than the value of (3)³ + (5)³ - (8)³ is​

Answer 1

Answer:

1. Coefficient of x² is π/2.

2. This is a polynomial in variable t and the highest power of variable t is 1. Therefore, the degree of this polynomial is 1. This is a constant polynomial

3. Given polynomial 5x−

4x

2

+3

(i) If x=0

Then 5(0)−4(0)

2

+3=0−0+3=3

(ii) If x=−1

Then 5(−1)−4(−1)

2

+3=−5−4+3=−6

(iii) If x=0

Then 5(2)−4(2)

2

+3=10−16+3=−3

4. Hence we can say that a number is irrational if and only if its decimal representation is non terminating and non repeating

5. The additive identity of a rational number is 0 and its additive inverse is the number itself. Multiplicative identity of a rational number is 1 and its multiplicative inverse is the reciprocal of the number. Between any two rational numbers, an infinite number of rational numbers can be positioned.

6. If x+1 is a factor of the polynomial 2x^(2)+kx, then the value of k is. Hence , the value of k is 2.

7. Therefore, such a polynomial of degree 4 of the form rx⁴ + px² + qx + 5 is called a biquadratic polynomial, because it has double the power of a quadratic equation of the form ax² + bx + c. Answer - The type of the polynomial px² + qx + rx⁴ + 5 is biquadratic in nature.

8. If 3 + 5 – 8 = 0, then the value of (3)³ + (5)³ – (8)³ is * 360