Question

a= 3, b = 5, c = 7, d = 11 in the standard notation gives the cubic polynomial ........,Select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 3x³+5x²–7x–11
(b) 3x³–5x²+7x–11
(c) 3x³+5x²–7x+11
(d) 3x³+ 5x²+7x+11

Answer 1

Hi ,

If a polynomial degree is 3 then it is

called a cubic polynomial.

p( x ) = ax³ + bx² + cx + d , a ≠ 0

Here ,

a = 3 , b = 5 , c = 7 , d = 11

Required polynomial is

3x³ + 5x² + 7x + 11

Option ( d ) is correct.

I hope this helps you.

: )

Answer 2

The standard form of a cubic polynomial is p(x) = ax³ + bx² + cx + d

hence, a is coefficient of x³
b is coefficient of x²
c is coefficient of x
and d is constant term.

∴ For a = 3, b = 5, c = 7 and d = 11,
p(x) = 3x³+ 5x² + 7x + 11.

hence, option (D) is correct.