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micahatwood03
25.02.2020 •
Mathematics
Match the following expressions in standard form with their corresponding factored form.
ANSWER CHOICES?
z? – 16
(3 – 4)(x – 4)
|| (2 – 8) (– 2)
22 + 8x + 16
|| (x+4)(x – 4)
2? + 10x + 16
(2+8)(x+2)
(-0 – 4)2
(x+4)
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Ответ:
3x^2 + 12x + 9
Factoring is one way to write our polynomial in an equivalent form. Notice that 3 is a GCF for all the terms. If we divide 3 out of each term of our expression, we can also write our polynomial as
3( x^2 + 4x + 3)
Now, we need two numbers whose sum is 4 and whose product is 3. In this case, it would have to be 1 and 2. Therefore we can also write our polynomial in the factored form:
3(x + 3)(x + 1)