What is the correct description for the polynomial? (x²+7x+10)

Question

difference of two squares,
general trinomial,
perfect square trinomial,
prime

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Answer 1 · 2018-06-19T11:20:34

Its a general trinomial

A trinomial is an equation that has three terms connected with symbols, an example is;

#ax^2 + bx + c or ax^2 + bx - c#

Which satisfy the given equation;

#x^2 + 7x + 10#

Answer 2 · 2018-06-19T11:38:23

#(x^2+7x+10)# is a general trinomial

#(x^2+7x+10)#

#color(white)("XXX")#is not in the form #(x^2-a^2)#;
#color(white)("XXX")#therefore it is not the difference of two squares.

#color(white)("XXX")#it is a polynomial with 3 terms;
#color(white)("XXX")#therefore it is a general trinomial.

#color(white)("XXX")#it is not in the form #(x^2+2ax+a^2)=(x+a)^2#;
#color(white)("XXX")#thereore it is not a perfect square trinomial.

#color(white)("XXX")#can be factored as #(x+2)(x+5)#;
#color(white)("XXX")#therefore it is not prime.