Question

4 root 3 x square -7x+root 3

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

(4x - √3)(√3x - 1)

Step-by-step explanation:

Given : 4√3x² - 7x + √3

On comparing with ax² + bx + c, we get

a = 4√3, b = - 7, c = √3

Using Middle Term Factorisation

Step I : Multiply a and b term.

a × b = 4√3 × √3 = 4 × 3 = 12

Step II : Break down the term - 7 in such a way that on addition or subtraction, it gives term - 7 and on multiplication, it gives 12.

We get two numbers : - 4 and - 3

Addition = (- 4) + (- 3)

= - 7

Multiplication = (- 4)(- 3)

= 12

Now,

We can write - 7 as addition of - 3 and - 4.

Therefore,

→ 4√3x² + (- 4 - 3)x + √3

→ 4√3x² - 4x - 3x + √3

→ 4x(√3x - 1) - √3(√3x - 1)

→ (4x - √3)(√3x - 1)

• In this method, we usually splits the middle term into two factors. That's why it is called middle term factorisation.

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