Question

The distributive property can be applied to which expression to factor 12x3 – 9x2 4x – 3? 3(4x3– 1) – (9x2 4x) 4x(3x2 1) – 3(3x2 – 1) 3x(4x – 3) – (3 4x) 3x2(4x – 3) 1(4x – 3).

Answer 1

Answer:

D: 3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

Answer 2

To solve the problem we must know about the distributive property.

What is Distributive property?

The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).

x(a+b) = xa + xb,

The polynomial $12x^3 - 9x^2+4x- 3$ can be written as $3x^2(4x - 3)+1(4x- 3).$

Given to us

• $12x^3 - 9x^2+4x- 3$

Distributive property

$12x^3 - 9x^2+4x- 3$

Using distributive property taking 3x² as common from the first two terms,

$=3x^2(4x - 3)+1(4x- 3)$

Hence, the polynomial $12x^3 - 9x^2+4x- 3$ can be written as $3x^2(4x - 3)+1(4x- 3).$

Learn more about Distributive property:

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