Add and subtract polynomials. Identify degree, leading coefficient, and end behavior of result.
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If $${f(x)= x^3-3x^2+2 }$$
and
$${g(x)=-4(x+2)^2-5}$$
What is $${ f(x)+g(x)}$$?
What is $${ f(x)-g(x)}$$?
What is $${g(x)-f(x)}$$?
Is the following statement always, sometimes, or never true?
“The difference between two polynomials will be the same degree as the highest-degree polynomial in the difference.”
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Find $${h(x)-j(x)}$$.
$${h(x)=5x^4-3x^2+4}$$
$${j(x)=2x^3+5x^4+4}$$