Question

Determine if Ginny factored correctly. If not, explain where she made an error. Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31. Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x. Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30. Ginny factored the trinomial correctly.

Answer 1

Answer:

a

Step-by-step explanation:

i got it right on edge

Answer 2

Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.

What is a Quadratic Equation?

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,

$6x^2 - 31x -30 = 0$

As we can see that the value of constants are,

a = 6

b = -31

c = 30

$6x^2 - 31x -30 = 0\\\\6x^2 - 36x+5x -30 = 0\\\\6x(x-6)+5(x-6)=0\\\\(6x+5)(x-6)=0$

Therefore, the factors of the trinomial $6x^2 - 31x -30 = 0$ are (6x+5) and (x-6).

If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.

Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.

Learn more about Quadratic Equation:

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