Question

Factor the expression. 4x^2 +31x+21​

Answer 1

Step-by-step explanation:

• $\sf \: 4 {x}^{2} + 31x + 21$

• $\sf \: 4 {x}^{2 + } 28x + 3x + 21$

• $\sf \: 4x(x + 7) \: 3(x + 7)$

• $\sf \: (4x + 3)(x + 7)$

Hope It's Helps^^

Answer 2

When the expression 4x² + 31x + 21 is factorised, the result obtained is (4x + 3)(x + 7)

Data obtained from the question

• 4x² + 31x + 21
• Factorisation =?

How to factorise

4x² + 31x + 21

• Multiply the 1st term (i.e 4x²) and the last term (i.e 21) together.
• The result is 84x².
• Find the two factors of 84x² such that the sum of the factors is equal to 31x
• The factors are 28x and 3x
• Substitute 28x and 3x in place of 31x in the equation above. We have

4x² + 31x + 21

4x² + 28x + 3x + 21

Factorise

4x(x + 7) + 3(x + 7)

(4x + 3)(x + 7)

Learn more about factorisation:

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