The factors of the given expression are (x-7)(2x+8). Therefore, option B is the correct answer.
The given expression is 2x²-6x-56.
How do factor the quadratic expression?
Factoring an expression means rewriting it as the product of factors.
- Write each term as the prime factorization.
- Identify the factors that all of the terms have in common.
- Multiply those common factors.
Now, the factorisation of the given expression is as follows:
By splitting the middle term method we can write the expression 2x²-6x-56 as 2x²-14x+8x-56.
=2x(x-7)+8(x-7)
=(x-7)(2x+8)
Therefore, option B is the correct answer.
To learn more about the factorisation visit:
https://brainly.com/question/13496719.
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