Mathematics: With this question. you are told that 2x2 + kx + 4 can be common factored and also that the resulting trinomial (after factoring the gcf out) can be factored into two binomials. what can you say, for sure, about the possible values of k? explain.

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With this question. you are told that 2x2 + kx

brianna4357

11.03.2022

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

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