Here is a list of the factoring techniques that we have discussed. a. Factoring out the GCF b. Factoring by grouping c. Factoring trinomials by trial and error d. Factoring the difference of two squares A 2 − B 2 = ( A + B ) ( A − B ) e. Factoring perfect square trinomials A 2 + 2 A B 2 + B 2 = ( A + B ) 2 A 2 − 2 A B + B 2 = ( A − B ) 2 f. Factoring the sum of two cubes A 3 + B 3 = ( A + B ) ( A 2 − A B + B 2 ) g. Factoring the difference of two cubes A 3 − B 3 = ( A − B ) ( A 2 + A B + B 2 ) Fill in each blank by writing the letter of the technique (a through g) for factoring the polynomial. 27 x 3 − 1 __________
Here is a list of the factoring techniques that we have discussed. a. Factoring out the GCF b. Factoring by grouping c. Factoring trinomials by trial and error d. Factoring the difference of two squares A 2 − B 2 = ( A + B ) ( A − B ) e. Factoring perfect square trinomials A 2 + 2 A B 2 + B 2 = ( A + B ) 2 A 2 − 2 A B + B 2 = ( A − B ) 2 f. Factoring the sum of two cubes A 3 + B 3 = ( A + B ) ( A 2 − A B + B 2 ) g. Factoring the difference of two cubes A 3 − B 3 = ( A − B ) ( A 2 + A B + B 2 ) Fill in each blank by writing the letter of the technique (a through g) for factoring the polynomial. 27 x 3 − 1 __________
Solution Summary: The author explains that there are numerous factoring techniques that are used to factorize the polynomials. One technique is known as, ‘‘factoring the difference of two cubes’’.
Consider the table of values below.
x
y
2
64
3
48
4
36
5
27
Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.
solving for x
Consider the table of values below.
x
y
2
63
3
70
4
77
5
84
Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.
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