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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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Step-by-step explanation:

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Answer:

(a) w=2+5i-6=-4+5i

Multiplicative inverse of w will be \frac{1}{-4+5i}

(B) As w is same as the product of z_1\ and\ z_2

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Step-by-step explanation:

We have given two complex numbers

z_1=1+i and z_2=3+2i

(a) First we have to find w=z_1z_2

So w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2

As we know that i^2=-1

So w=2+5i-6=-4+5i

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be \frac{1}{-4+5i}

Because when we multiply -4+5i with \frac{1}{-4+5i} it gives result as 1

(b) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

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3 years ago
Please help me with this problem i have been struggling!
adoni [48]

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