Please Help 2021 20 find a special factoring pattern for a d

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20-21 20. find a special factoring pattern for a difference of two quarties: (a^4 - b^4) 21. Show that for a general cubic function f(x) ax^3 + bx^2 + cx + d, the f(n) found by using synthetic substitution is equal to the f(n) found using standard substitution. Standard Substitution: Synthetic Substitution: If an^3 + bn^2 + cn + d = 0, then what do we know about (x - n)?

Student\'s Name Student Number 20. Find a s a special factoring pattern for a difference of two quartics: (at -b) 21. Show that for a general that for a general cubic function fx)- ar+ br+ cx+d, the fex) found by using synthetic substitution is equal to the An) found using standard substitution. Standard Substitution: Synthetic Substitution: If ar + b + cn + d=0, then what do we know about (x-n)? (ov A-(1083)-07/14-02 AMERICAN SCHOOL Lansing IU

Solution

20. a^4 - b^4 = (a^2 - b^2) (a^2 + b^2) = (a + b) ( a - b) (a^2 + b^2)