Question

15 When (x)(x - 5)(2x + 3) is expressed as a

Answer 1

Given:

The polynomial is

$x(x-5)(2x+3)$

To find:

The standard form of the polynomial and correct statement for the polynomial.

Solution:

Let, $P(x)=x(x-5)(2x+3)$

On multiplication, we get

$P(x)=(x^2-5x)(2x+3)$

$P(x)=x^2(2x)+x^2(3)-5x(2x)-5x(3)$

$P(x)=2x^3+3x^2-10x^2-15x$

$P(x)=2x^3-7x^2-15x$

Here,

Constant term is 0, leading coefficient is 2, degree is 3 and number of terms is 3.

Therefore, the correct option is 2.