which of the following is a perfect square trinomial
A.x^2-2x+4
B.x^2-4y+2y^2
C.4x^2+12x+9
D.9x^2-6xy-y^2
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A.x^2-2x+4
B.x^2-4y+2y^2
C.4x^2+12x+9
D.9x^2-6xy-y^2
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Answer:
What is a Perfect Square Trinomial?
A basic skill for solving any algebraic equation using polynomials is the ability to recognize special examples of polynomials that we can easily factor in.
The perfect square trinomial is one of these easy-to-factor polynomials. A trinomial is an algebraic statement made up of three terms that are related by addition or subtraction.
A binomial, on the other hand, is a two-term expression. As a result, a perfect square trinomial is defined as an expression derived by squaring a binomial equation.
The first step in factoring a perfect square trinomial is to recognize it.
Here are some pointers on how to spot a perfect square trinomial:
Check to see if the trinomial's first and last terms are perfect squares.
Multiply the first and third terms' roots together.
Compare the outcome in step two to the middle terms.
The expression is a perfect square trinomial if the first and last terms are perfect squares, and the value of the middle term is twice the product of the first and last terms' square roots.
Explanation: Hope it helps :)