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What shows a perfect square trinomial?
A perfect square trinomial is an algebraic expression that is of the form ax2 + bx + c, which has three terms. It is obtained by the multiplication of a binomial with itself. For example, x2 + 6x + 9 is a perfect square polynomial obtained by multiplying the binomial (x + 3) by itself.
Is 16x 2 24x 9 a perfect square trinomial?
16×2−24x−9 is not a perfect square trinomial.
Factoring Perfect Square Trinomials
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Is 4×2 12x 9 a perfect square trinomial?
Yes, 12x = 2(2x)(3). 4x 2 + 12x + 9 is a perfect square trinomial.
Is 16x 2 a perfect square trinomial?
= x(2x + 5)(x – 3) 2x + 5 is the common factor. Solve 16x 2 + 8x + 1 = 0. 16x 2 + 8x + 1 = 0 Original equation (4x) 2 + 2(4x)(1) + (1) 2 = 0 Recognize 16x 2 – 8x + 1 as a perfect square trinomial. (4x + 1) 2 = 0 Factor the perfect square trinomial.
What must be added to X² 8x to make it perfect square trinomial?
The value which must be added to the expression x2 – 8x to make it a perfect square trinomial is 16.
Is 16×2 40x 25 a perfect square trinomial?
The trinomial 16x^2-40x+25 is a perfect square trinomial, because it’s discriminant is equal to zero.
What are examples of a perfect square?
The numbers which can be written as a product of a number by itself can be referred to as perfect squares. A few examples of perfect square numbers are 49, 64, 81, and 100.
Identifying and Factoring Perfect Square Trinomials
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What is the perfect square rule?
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.
What are the steps in factoring perfect square trinomial?
Step 1: Factor out the GCF, if necessary. Step 2:Write each term as a perfect cube. Step 3: Identify the given variables. Step 4:The terms of the binomial are the cube roots of the terms of the original polynomial.
Is x2 10x 25 a perfect square trinomial?
Yes, x2+10x+25 is a perfect square trinomial.
What must be added to x2 4x to make it a perfect square trinomial?
The number that should be added to the expression x2+4x to change it into a perfect square trinomial is 4.
What value for C will make the expression a perfect square trinomial?
So, c must be 144 to make the trinomial a perfect square.
Finding the value to make a perfect square trinomial
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What number will make this expression a perfect square trinomial show your work X² 6x __?
Answer: 9 needs to be added to x2 – 6x to make it a perfect square.
Which value of C makes the trinomial x2 12x CA perfect square trinomial?
The value which must be added to the expression x2 + 12x to make it a perfect-square trinomial is 36.
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