Math, asked by ghoshrakhi2020, 9 months ago

factorize 3x²+14x+8 step by step

Answers

Answered by 007Boy

Answer:

Here is your solution.. Thanks

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Answered by Anonymous

(3x + 2)(x + 4)

Given : p(x) = 3x² + 14x + 8

On comparing this with ax² + bx + c, we get

a = 3, b = 14, c = 8

Using Middle Term Factorisation, we get

→ 3x² + 12x + 2x + 8

Taking out common terms, we get

→ 3x(x + 4) + 2(x + 4)

→ (3x + 2)(x + 4)

In Middle Term Factorisation, we factorise the middle term only.
First we multiply 'a' and 'c'.
Then we have to find such a pair of number such that on addition or subtraction, the result equals to 'b' and on multiplication, the result equals to the multiplication of 'a' and 'c'.

We get the two terms : 12 and 2

Addition = (12) + (2) = 14 = b

Multiplication = (12)(2) = 24 = Product of 'a' and 'c' i.e. (3)(8) = 24