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

(a)

-6

(b)

-7

(c)

-8

(d)

11

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

(a)

constant polynomial

(b)

linear polynomial

(c)

quadratic polynomial

(d)

cubic polynomial.

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

(a)

–5a

(b)

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

(c)

5

(d)

5a

Degree of the polynomial (y³–2)(y³ + 1) is _______.

(a)

9

(b)

2

(c)

3

(d)

6

Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)

Find the Zeros of the following polynomials. f(x) = 2x + 1

If p(x) = x²– 2\(\sqrt { 2 }\)x +1, find p(2\(\sqrt { 2 }\)) .

If p(x) = 4x²-3x+2x³+5 and q(x) = x²+2x+4 find p(x)+q(x)

Rewrite the following polynomial in standard form.
\(\sqrt { 2 } x^{ 2 }-\frac { 7 }{ 2 } { x }^{ 4 }+x-5{ x }^{ 3 }\)

What should be added to 2x³+6x²-5x+8 to get 3x³ -2x²+6x+15?

Classify the following polynomials based on number of terms.

If two polynomials 2x³ + ax² + 4x – 12 and x³ + x² –2x+ a leave the same remainder when divided by (x – 3), find the value of a and also find the remainder.