The method used to factor trinomials of the fo can also be used to factor binomials of the form by realizing that, in this case,

Solution:

A binomial means an expression containing single variable having two terms.For example,2 x²+ 5 x

A Trinomial means an expression containing single variable having three terms.For example, 3x³+4 x + 2

So , in the question given , the trinomial is : a x²+ b x+ c-------(1)

And the binomial is : p x²+ q x

If we put c=0 in the trinomial represented in equation (1), it get converted into binomial.and we can factorize p x²+ q x in the same way as  a x²+ b x+ c.

So, option (C) c=0, is true option among four options provided.

i need more details sorry

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb