How to write function in standard form

Question

3 years ago

15

How to write function in standard form

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Mathematics

2 answers:

mafiozo [28] · Answer 1 · 2022-06-04T19:34:23+03:00

mafiozo [28]3 years ago

5 0

Multiply it out.
f(x) = (2x +1)(x² -1) . . . . . . recognize the factoring of the difference of squares
f(x) = 2x³ +x² -2x -1

HACTEHA [7] · Answer 2 · 2022-06-04T22:03:50+03:00

HACTEHA [7]3 years ago

5 0

The standard form:
$f(x)=ax^3+bx^2+cx+d$
Use: $(a-b)(a+b)=a^2-b^2\\\\(a+b)(c+d)=ab+ad+bc+bd\\\\a^n\cdot a^m=a^{n+m}$
$f(x)=(2x+1)(x+1)(x-1)\\\\f(x)=(2x+1)(x^2-1^2)\\\\f(x)=(2x+1)(x^2-1)\\\\f(x)=2x\cdot x^2-2x\cdot1+1\cdotx^2-1\cdot1\\\\f(x)=2x^3-2x+x^2-1\\\\\boxed{f(x)=2x^3+x^2-2x-1}$