Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
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The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
Answer:
It is in simplest form so you leave it like that
Step-by-step explanation:
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Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr
25 girls and 50 boys!!
49 divided by 7 = 7.
So there were 7 adults.
49 + the 1 it mentioned = 50 boys
50 divided in half = 25 girls.
50+25+7 = 82.
We have been given a parent function
and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from
.
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as
.