PERT Practice Test 2025 – Comprehensive Study Guide for Postsecondary Education Readiness Success!

Question: 1 / 400

What is the result of subtracting (5x^2 + 8x - 3) from (7x^3 - 6x^2 + 2x)?

7x^3 - 11x^2 - 6x + 3

To find the result of subtracting \( (5x^2 + 8x - 3) \) from \( (7x^3 - 6x^2 + 2x) \), it is important to follow the correct procedure for polynomial subtraction. This involves subtracting each corresponding coefficient of the polynomials.

Starting with the given polynomials:

1. The first polynomial is \( 7x^3 - 6x^2 + 2x \).

2. The second polynomial is \( 5x^2 + 8x - 3 \).

When we subtract the second polynomial from the first, we rewrite it as:

\[

(7x^3 - 6x^2 + 2x) - (5x^2 + 8x - 3)

\]

Distributing the negative sign to the terms in the second polynomial transforms the expression into:

\[

7x^3 - 6x^2 + 2x - 5x^2 - 8x + 3

\]

Now, we combine like terms:

- The \( x^3 \) term: \( 7x^3 \) remains unchanged since there is no corresponding \(

Get further explanation with Examzify DeepDiveBeta

7x^3 - 11x^2 - 5x + 3

7x^3 - 10x^2 + 6x + 3

-7x^3 + 11x^2 + 6x - 3

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