Question

1) 4x²-11x-3 is a _______ polynomial.
a)linear b) constant c)cubic d)
quadratic.(with sum)
2)______ is a rational number between 7 and 8. (with sum)
a)33/5 b)51/6 c)60/7 d)61/8
3)the rationalising factor of 4-√5 is _______.(with sum )​

Answer 1

Answer:

1. Quadratic Polynomial (option d)

4x^2-11x-3 = (4x+1)(x-3)

x = -1/4, 3

2. 61/8 (option d)

3. 4-√5

The rationalising factor is 4+√5

Because (4-√5)(4+√5)

= 4^2+(√5)^2

= 16+5 = 21

Answer 2

Answer

$\tt\red{answer - 1}$

Quadratic polynomial

$\tt\red{answer - 2}$

$\tt{ = \frac{61}{8} }$

$\tt\red{answer - 3}$

= 4-√5

= (4-√5)(4+√5)

= 4² - (√5)²

= 16 - 5

= 11