At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Answer:
C) (x+1)(5x-2)
Step-by-step explanation:
Solving the Problem
We can rearrange the terms in the polynomial to maximize our factoring.
Since [tex]5x^2[/tex] and [tex]5x[/tex] both have "5" and an x in their term and [tex]-2x[/tex] and [tex]-2[/tex] both have "-2" in their term we can swap -2x and +5x so that they're next to their respective terms.
[tex]5x^2+5x-2x-2[/tex]
[tex]\dotfill[/tex]
Factoring the Problem
Between the two leftmost terms, we can factor out a 5 and an x, this leaves
[tex]5x(x+1)-2x-2[/tex].
Factoring out -2 from the rightmost terms we have,
[tex]5x(x+1)-2(x+1)[/tex].
Since both the left and right sides have (x+1), we can factor it from this new expression.
[tex](x+1)\leftbig(5x-2)[/tex]
So, C is our final answer.
The factoring of the expression is C) (x+1)(5x-2).
To factor the expression 5x² - 2x + 5x - 2 by grouping, follow these steps:
Group the terms to find common factors:
(5x² - 2x) + (5x - 2)
Factor out the greatest common factor (GCF) from each group:
x(5x - 2) + 1(5x - 2)
Factor out the common binomial factor:
(5x - 2)(x + 1)
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
