Answered

Shauna says that 2x2 + x - 12 is the same as (x+4)(x-3). Is
she correct? Are the two expressions equal? Explain your
answer.

Answer :

ROCOCO908GO

Answer:

Shauna is incorrect, because (x + 4)(x - 3) is NOT equivalent to 2x² + x - 12

Step-by-step explanation:

Check if she is correct by expanding (x + 4)(x - 3), with FOIL:

(x + 4)(x - 3)

x² - 3x + 4x - 12

x² + x - 12

So, Shauna is incorrect, because the two expressions are not equal.

(x + 4)(x - 3) is equivalent to x² + x - 12, NOT 2x² + x - 12.

Answer:

  1. No she's wrong
  2. Two equations are unequal.
  3. Explained below

Step-by-step explanation:

[tex] \sf \rightarrowtail \: (x + 4)(x - 3) \\ \sf \rightarrowtail \: x(x - 3) + 4(x - 3) \\ \sf \rightarrowtail \: {x}^{2} - 3x + 4x - 12 \\ \sf \rightarrowtail \: {x}^{2} + x - 12 \cancel{ = } {2x}^{2} + x - 12[/tex]

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