Question

Please help with this question.

Answer 1

Answer-

The value of k is 6

Solution-

The trinomial given here,

$2x^2 + kx + 4$

While factoring a trinomial into two binomial, middle term factorization is followed.

The general form is,

$\Rightarrow ax^2+(a+b)x+b=(x+1)(ax+b)$

Comparing this with the given trinomial

$a = 2,\ b = 4,\ k = (a+b)\\\\\Rightarrow k =2+4=6$

Putting the value of k,

$=2x^2 + 6x + 4$

$=(x+1)(2x+4)$

Therefore, the value of k is 6