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Determine the factors of 5x2 29x − 6. (5x − 1)(x 6) (5x − 6)(x 1) (5x − 3)(x 2) (5x − 2)(x 3)

Sagot :

The correct option is option(A) (5x-1)(x+6).

The factors of the given equation are (5x-1)(x+6).

What are the factors of a quadratic equation?

An algebraic expression or number that divides another expression or number equally, leaving no remainder is known as factor.

The quadratic equation [tex]ax^{2} +bx+c=0[/tex]  can be expressed as the product of its linear factors as (x - k)(x - h), where h, k are the roots of the equation. This is known as factoring quadratics.

What is splitting middle term of an equation?

Dividing the middle term into two factors is used in quadratic factorization in this method. In splitting of the middle term, where x is the product of two factors and last term is the sum of the two factors.

Use the splitting middle term formula

[tex]5x^{2} +29x-6[/tex]

=[tex]5x^{2} +30x-x-6[/tex]

=5x(x+6)-1(x+6)

=(5x-1)(x+6)

The factors of the given equation are (5x-1)(x+6).

Learn more about factors of a quadratic equation at: https://brainly.com/question/1863222

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