To factorize the given polynomial 2p^2 - 11pq + 24q^2, we need to find two numbers that multiply to (2*24=48) and add up to -11.

Those numbers are -8 and -6.

So, we can rewrite the middle term of the polynomial as -8pq - 6pq.

Now, the polynomial becomes 2p^2 - 8pq - 6pq + 24q^2.

We can factor by grouping:

2p(p - 4q) - 6q(p - 4q)

Now, we can factor out the common binomial term (p - 4q):

(2p - 6q)(p - 4q)

So, the correct factorization of the polynomial is (2p - 6q)(p - 4q), but this option is not given in the choices. Therefore, the given options do not include the correct factorization of the polynomial.

Question

To factorize the given polynomial 2p^2 - 11pq + 24q^2, we need to find two numbers that multiply to (2*24=48) and add up to -11.

Those numbers are -8 and -6.

So, we can rewrite the middle term of the polynomial as -8pq - 6pq.

Now, the polynomial becomes 2p^2 - 8pq - 6pq + 24q^2.

We can factor by grouping:

2p(p - 4q) - 6q(p - 4q)

Now, we can factor out the common binomial term (p - 4q):

(2p - 6q)(p - 4q)

So, the correct factorization of the polynomial is (2p - 6q)(p - 4q), but this option is not given in the choices. Therefore, the given options do not include the correct factorization of the polynomial.

Knowee AI · Accepted Answer

To factorize the given polynomial 2p^2 - 11pq + 24q^2, we need to find two numbers that multiply to (2*24=48) and add up to -11.

Those numbers are -8 and -6.

So, we can rewrite the middle term of the polynomial as -8pq - 6pq.

Now, the polynomial becomes 2p^2 - 8pq - 6pq + 24q^2.

We can factor by grouping:

2p(p - 4q) - 6q(p - 4q)

Now, we can factor out the common binomial term (p - 4q):

(2p - 6q)(p - 4q)

So, the correct factorization of the polynomial is (2p - 6q)(p - 4q), but this option is not given in the choices. Therefore, the given options do not include the correct factorization of the polynomial.

Which of the following is the correct factorization of the polynomial below?2p2 - 11pq + 24q2A.(2p - 4q)(p - 4q)B.(2p - 4q)(p + 4q)C.(2p - 4q)(2p2 + 2q)D.The polynomial is irreducible.

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