Question

factorise by splitting the middle term:5x^2 +16x+3

Answer 1

5x^2+x(15+1)+3
5x^2+15x+x+3
5x(x+3)+1(x+3)
(5x+1)(x+3)

5x+1=0
x=-1/5
or
x+3=0
x=-3

Answer 2

Concept introduction:

Writing a number or other statistical thing as the result of numerous factors—typically smaller or easier variables of the same kind—is known as factorization or factored in mathematics.

Given:

Here the given expression is $5x^2 +16x+3$.

To find:

We have to find the value middle term factorization.

Solution:

According to the problem,

$5x^2 +16x+3$

$=5x^2+x(15+1)+3\\5x^2+15x+x+3\\5x(x+3)+1(x+3)\\(5x+1)(x+3)\\5x+1=0\\x=-1/5$

or,

$x+3=0\\x=-3$

Final answer:

Hence, the final answer of the question is $-3$ or $-1/5$.

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