Mathematics: Students were asked to write a trinomial that could not be factored using integers. which students followed the given directions. pat x2 + 3x- 10 sam x2+x-12mel x2+2x-1lee x2+2x-3

Kay.Step-by-step explanation:...

Students were asked to write a trinomial that

yuluvk

12.01.2022

ANSWER

Mel followed the right direction.

EXPLANATION

Pat's trinomial is;

${x}^{2} + 3x - 10$

There are factors of -10 that sums up to 3.

5 + - 2 = 3

Hence this trinomial could be factored into (x-2)(x+5)

Sam's trinomial:

${x}^{2} + x - 12$

There are factors of -12 that sums up to 1.

4+-3=1

${x}^{2} + x - 12 = (x + 4)(x - 3)$

Mel's trinomial:

${x}^{2} + 2x - 1$

There are no factors of -1 that sums to 2.

This trinomial cannot be factored.

Lee's trinomial:

${x}^{2} + 2x - 3$

There are factors of -3 that sums up to 2

3+-1=2

${x}^{2} + 2x + 3 = (x + 3)(x - 1)$

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