What is an example of a perfect square trinomial?

What is an example of a perfect square trinomial?

For example, in the trinomial x2 – 12x + 36, both x2 and 36 are perfect squares. The square root of x2 is x, the square root of 36 is 6, and 2 times x (which is the same as 1) times 6 equals 12x/-12x, which does equal the other term. x2 – 12x + 36 can be factored into (x – 6)(x- 6), also written as (x – 6)2.

What is the formula for perfect square trinomial?

In the case of a perfect square, the middle term is the first term multiplied by the last term, and then multiplied by 2. In other words, the perfect square trinomial formula is: a 2 ± a b + b 2 a^{2} \pm ab + b^{2} a2±ab+b2. We’re now trying to see if we can get the middle term of 2 a b 2ab 2ab.

Is X² 10x 25 a perfect square trinomial?

Yes, x2+10x+25 is a perfect square trinomial.

Which algebraic expression is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression. For example: x2 + 5y – 25, a3 – 16b + 10. These are trinomials as they have three terms i.e. coefficient, variables, and constants.

Is the trinomial 9×2 15x 25 is a perfect square trinomial?

The trinomial 9×2+15x+25 is perfect square trinomial. The trinomial is perfect square trinomial.

What is a trinomial example?

A trinomial is an algebraic expression that has three non-zero terms. Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z. x2/3 + ay – 6bz is a trinomial in five variables a, b, x, y and z.

Why is 49 a perfect square?

The square root of 49 is obtained by the number whose square gives the original number. The answer obtained on squaring 7 is 49. Hence, 49 is a perfect square.

Which value of B makes 16×2 BX 25 a perfect square trinomial?

Answer and Explanation: Hence, the value of b is ±40 .

How to factor perfect square?

Therefore, the count of factors that are a perfect square is given by: Factors of N that are perfect square = (1 + a 1 /2)* (1 + a 2 /2)*…* (1 + a n /2) where a 1, a 2, a 3, …, a n are the count of distinct prime factors of N.

How do you factor the perfect square?

When you FOIL a binomial times itself, the product is called a perfect square. For example, (a + b)2 gives you the perfect-square trinomial a2 + 2ab + b2. Because a perfect-square trinomial is still a trinomial, you follow the steps in the backward FOIL method of factoring.

Is this expression a perfect square?

A perfect square is a quadratic expression that factors into two identical binomials. Therefore, the quadratic expression x2 + 4x + 4 is a perfect square since it factors into two identical binomials which are (x+ 2) and (x+ 2).

What is the pattern of square of trinomial?

A perfect square trinomial is the square of a binomial . It follows a pattern when it is factored, so that the first and last terms are perfect squares of monomials and the middle term is twice their product.

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