Identify all factors of the expression 4x^2+17x-15 a. 2 b. 3 c. x - 5 d. x+ 5 e. 4x - 3 f. 4x + 3

Factors of quadratic equation helps to write the quadratic equation in the form of product of its linear factors. All the factors of the given

The option D and option E are the correct option.

Given information

The given quadratic equation is,

Factors of quadratic equation helps to write the quadratic equation in the form of product of its linear factors.

Equate the above equation to zero to find out the factors,

Use the split the term method to solve further,

Group the above equation by taking out the common values,

Seprate the two factors of the given quadratic equation,

Hence all the factors of the given

Thus the option D and option E are the correct option.

Learn more about the factors of quadratic equation here;

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d and e

Step-by-step explanation:

To factor 4x² + 17x - 15

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 4 × - 15 = - 60 and sum = + 17

The factors are + 20 and - 3

Use these factors to split the middle term

4x² + 20x - 3x - 15 ( factor by grouping the first/second and third/fourth terms )

= 4x(x + 5) - 3(x + 5) ( take out the common factor (x + 5) )

= (x + 5)(4x - 3) → d/e