Question

Which options reflect the requirements for factoring using quadratic form? (Select all that apply.)

Answer 1

Answer:

The polynomial must have three terms with no universally common factor. b The ratio of the coefficients of the first two terms must be the same as the ratio of the second two terms. c The polynomial must have four terms with no universally common factor. d The exponent of the first term must have twice the value of the exponent of the second term.

hope it helps u ☺✌

Answer 2

Concept

Quadratic equations are two-variable polynomial equations of the kind $f(x)=ax^{2}+bx+c$

where a, b, c  ∈ R  and a ≠ 0 are the variables.

Given

Quadratic form

Find

We are asked to find which options reflect the requirements for factoring using quadratic form.

Solution

• There must be four terms in the polynomial and no universally shared factor.
• The first term's exponent must be twice as large as the second term's exponent.
• There must be three terms in the polynomial and no universally shared factor.
• The coefficients of the first two terms must have the same ratio as the coefficients of the second two terms.