Which statement about 6x² + 7x - 10 is true?
One of the factors is (x + 3)
One of the factors is (x + 1)
One of the factors is (x + 2)
One of the factors is (x - 2)

Solution:

Factorization of degree 2 expressions gives 2 factors generally, which are also referred to as the zeros of the expression.

Given expression: 6x² + 7x - 10

On factorizing the given expression, we get:

⇒ 6x² + (12x - 5x) - 10

⇒ 6x² + 12x - 5x - 10

⇒ 6x(x + 2) - 5(x + 2)

⇒ (6x - 5) (x + 2)

Thus, option c) i.e. (x + 2) is one of the factors of the given expression

Which statement about 6x² + 7x - 10 is true?

Summary:

Option c) i.e. (x + 2) is one of the factors of the given expression.