Question

MULTIPLYING POLYNOMIALS
write the product as a sum
(2x-3)(4x2+5)
I need four answers x to power of three, x to the power of two, x and standard

the two between the four and five is a two to the power I just couldn't put it like that

Answer 1

Given polynomials → (2x - 3) (4x² + 5)

Procedure:

Here, there are 2 expressions.

1. (2x - 3)
2. (4x² + 5)

For Multiplying the polynomial, Multiply the first term in first expression with the entire second term and then the second term in first expression again with the second expression.

Step-by-step explanation:

(2x - 3) (4x² + 5)

= 2x (4x² + 5) - 3 (4x² + 5)

= [2x (4x²) + 2x (5)] + [- 3 (4x²) - 3 (5)]

Now

• 2x (4x²) = 8x³
• 2x (5) = 10x
• -3 (4x²) = -12x²
• -3 (5) = -15

Combining all of them;

= 8x³ + 10x - 12x² - 15

Rearrange the terms as per the decreasing order of their powers.

So,

→ 8x³ - 12x² + 10x - 15

∴ (2x - 3) (4x² + 5) = 8x³ - 12x² + 10x - 15