If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k= ?

(a)

-6

(b)

-7

(c)

-8

(d)

11

The root of the polynomial equation 2x + 3 = 0 is ________.

(a)

\(\frac{1}{3}\)

(b)

\(-\frac{1}{3}\)

(c)

\(-\frac{3}{2}\)

(d)

\(-\frac{2}{3}\)

The type of the polynomial 4–3x³ is  ________.

(a)

constant polynomial

(b)

linear polynomial

(c)

quadratic polynomial

(d)

cubic polynomial.

x³ – x² is a …………..

(a)

monomial

(b)

binomial

(c)

trinomial

(d)

constant polynomial

If x⁵¹ + 51 is divided by x + 1, then the remainder is _______.

(a)

0

(b)

1

(c)

49

(d)

50

The zero of the polynomial 2x+5 is _______.

(a)

\(\frac {5}{2}\)

(b)

\(-\frac {5}{2}\)

(c)

\(\frac {2}{5}\)

(d)

\(-\frac {2}{5}\)

The sum of the polynomials p(x) = x³ – x² – 2, q(x) = x²–3x+ 1 _______.

(a)

x³ – 3x – 1

(b)

x³ + 2x² – 1

(c)

x³ – 2x² – 3x

(d)

x³ – 2x² + 3x –1

The product of the polynomials p(x) = 4x –3 q(x) = 4x + 3 ____________

(a)

1 – x – 8

(b)

16x² – 9

(c)

18x³ + 12x² – 12x – 8

(d)

18x³ – 12x² + 12x + 8

The remainder when p(x) = x³ – ax² + 6x – a is divided by (x – a) is ______________

(a)

–5a

(b)

\(\frac {1}{5}\)

(c)

5

(d)

5a

The Auto fare is found as minimum Rs. 25 for 3 kilometer and thereafter Rs. 12 for per kilometer. Which of the following equations represents the relationship between the total cost ‘c’ in rupees and the number of kilometers n?

(a)

c = 25 + n

(b)

c = 25 + 12n

(c)

c = 25 + (n–3)12

(d)

c = (n–3)12