Question

factorise 3 x square - x - 4

Answer 1

Given,

A quadratic equation 3x²-x-4 = 0

To Find,

The factorized form of this equation.

Solution,

By using the middle term splitting method we will factorize the given equation.

3x²-x-4 = 0

3x²-4x+3x-4 = 0

x(3x-4)+1(3x-4) = 0

(x+1)(3x-4) = 0

Now,

The value of x for which the given quadratic equation satisfies is x = -1 or x = 4/3

Hence, the factorized form of 3x²-x-4 is (x+1)(3x-4).

Answer 2

Concept

• The use of brackets to write an expression as a product of its factors is known as factorizing.
• We utilize the sum and product form to divide the middle word. The quadratic equation can then be simply factored.

Given

A equation 3x²-x-4 = 0.

Find

We have to factorize this equation.

Solution

Use the middle term splitting method so we will factorize the given equation.

Now,

3x²  - x - 4 = 0

3x² - 4x + 3x - 4 = 0

x (3x-4)+1 (3x-4) = 0

(x+1)(3x-4) = 0

x = -1 or x = 4/3 are the values of x that satisfy the given quadratic equation.

As a result, 3x2-x-4's factorised form is (x+1) (3x-4).