Brendan factor a quadratic trinomial as shown. Which statement is true about Brandan‘s work (HURRY PLEASE)

Brendan factor a quadratic trinomial as shown Which statement is true about Brandans work HURRY PLEASE class=

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Given:

Given that Brendan factored a quadratic trinomial.

The equation is [tex]x^{2} +5x-6[/tex]

The factored form is [tex](x-1)(x-5)[/tex]

We need to determine the statement that is true about Brendan's work.

Factoring the quadratic trinomial:

The statement that is true about Brendan's work can be determined by factoring the given expression.

Thus, we have;

[tex]x^{2} +5x-6[/tex]

Splitting the middle term, we have;

[tex]x^{2} -x+6x-6[/tex]

Grouping the terms, we have;

[tex](x^{2} -x)+(6x-6)[/tex]

Factoring the terms, we have;

[tex]x(x -1)+6(x-1)[/tex]

[tex](x+6)(x-1)[/tex]

Therefore, the complete factor of the quadratic polynomial is [tex](x+6)(x-1)[/tex]

Hence, Brendan made a mistake. The correct factored form is [tex](x+6)(x-1)[/tex]

Thus, Option A is the correct answer.

Answer:

Brendan made a mistake. The correct factored form is (x + 6)(x − 1).

Step-by-step explanation:

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