Question

If p(x)=(2-3x³) (4x²+5) then find the co-efficient of x³.​

Answer 1

Answer:

The coefficient of x³ in (2 - 3x³) (4x² + 5) is -15.

Step-by-step explanation:

p(x) = (2 - 3x³) (4x² + 5)

We need to multiply the expression firstly

Now let's multiply (2 - 3x³) and (4x² + 5)

(2 - 3x³) (4x² + 5)

= 2(4x² + 5) - 3x³(4x² + 5)

= 8x² + 10 - 12x⁵ - 15x³

= -12x⁵ - 15x³ + 8x² + 10

Here we see in the term -15x³ the coefficient of -15.

∴ The coefficient of x³ in (2 - 3x³) (4x² + 5) is -15.

Thanks !

Have a great day ahead !

Answer 2

Answer

coefficient of x³=15