Question

Each of the following is a term in the polynomial which is the product of (x + 1), (3x² + 6x) and (2x² + 6x – 1) except.

(a) 6x⁵

(b) 36x⁴

(c) –6x

(d) –1

Answer 1

Correct option is (d) –1

As given, (x + 1)(4x² + 6x)(2x² + 6x − 1)

= (4x³ + 6x² + 4x² + 6x)(2x² + 6x − 1)

= (4x³ + 10x² + 6x)(2x² + 6x − 1)

= (8x⁵ + 24x⁴ − 4x³ + 20x⁴ + 60x³ − 10x² + 12x³ + 36x² − 6x)

Here there no constant term.

Thus, −1 is not a term of the polynomial.