Question

match each trinomial with its correct factorization 1. X'2- 10x - 24. A. (X+8) (x-3)2. X'2 + 11x + 24. B (X+3) (x+8)3. X'2 + 5x - 24. C (x+2) (x-12)4. x'2 + 10x + 24. D (X+24) (X+1)5. X'2 + 25x + 24. E (X+6) (x+4)the 2 next to the X is the exponent by the way.

Answer 1

1.

$\begin{gathered} x^2-10x-24=\mleft(x^2+2x\mright)+\mleft(-12x-24\mright)=x\mleft(x+2\mright)-12\mleft(x+2\mright) \\ =\mleft(x+2\mright)\mleft(x-12\mright) \end{gathered}$

answer: 1 - C

2.

$\begin{gathered} x^2+11x+24=\mleft(x^2+3x\mright)+\mleft(8x+24\mright)=x\mleft(x+3\mright)+8\mleft(x+3\mright) \\ =\mleft(x+3\mright)\mleft(x+8\mright) \end{gathered}$

answer: 2 - B

3.

$\begin{gathered} x^2+5x-24=\mleft(x^2-3x\mright)+\mleft(8x-24\mright)=x\mleft(x-3\mright)+8\mleft(x-3\mright) \\ =\mleft(x+8\mright)(x-3) \end{gathered}$

answer: 3 - A

4.

$\begin{gathered} x^2+10x+24=\mleft(x^2+4x\mright)+\mleft(6x+24\mright)=x\mleft(x+4\mright)+6\mleft(x+4\mright) \\ =\mleft(x+6\mright)(x+4) \end{gathered}$

answer: 4 - E

5.

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