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SashulF [63]
3 years ago
15

Imagine you are teaching a younger student how to factor. Describe in full sentences what you would say to teach the young stude

nt how to factor the trinomial x^{2} + 4x - 21 into (x - 3)(x + 7). Your description must include at least 3 different steps.
Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

x^2+ 4x - 21 =(x-3)(x+7)

Step-by-step explanation:

To factor the trimonial: x^2+ 4x - 21, we follow these steps:

Step 1: Multiply the first and last term

-21 \times x^2=-21x^2

Step 2: List out product factors of the term derived above

-21=-1 \times 21\\ -21=-3 \times 7\\-21=3 \times -7\\-21=1 \times -21

Step 3: Determine which of the factors sum up to the middle term 4x

The required product is: -3 and 7

Therefore: -3x+7x=4x

Step 4: Replace the middle term by the expression derived in step 3 and factorize.

x^2+ 7x -3x- 21\\=x(x+7)-3(x+7)\\=(x-3)(x+7)

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In triangle ABC, a = 4, b = 7, and c = 10. Find A.<br> 18°<br> 34°<br> 56°<br> 162°
marusya05 [52]

Answer:

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Step-by-step explanation:

The law of cosines tells you ...

  a² = b² + c² -2bc·cos(A)

Solve for cos(A) and fill in the numbers. Note that the value of cos(A) is very close to 1, so the angle will be fairly small. This by itself can steer you to the correct answer.

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5 0
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Please help me!!!
lora16 [44]

Answer: 1.57

Step-by-step explanation:

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So, your equation would be

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or

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Not sure if this is correct, I haven't learned the topic myself, but this week's to be there most reasonable way to look at it. For me anyway.

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