Which are perfect square trinomials? select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36

 and are perfect square trinomials.

Step-by-step explanation:

Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself.

To verify if a trinomial algebraic expresion defined by the formula

is a perfect square trinomial, create the following binomial

Then, if , T is a perfect square trinomial.

So

a) is not a trinomianl, so it cannot be a perfect square trinomial.

b) is not a trinomianl, so it cannot be a perfect square trinomial.

c) , so:

is a perfect square trinomial

d) , so:

is a perfect square trinomial

e) , so:

is not a perfect square trinomial

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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