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Which value must be added to the expression x2 16x to make it a perfect square trinomial?

Written by Isabella Ramos — 0 Views

The value which must be added to the expression x2 + 12x to make it a perfect-square trinomial is 36.

Which value must be added to the expression x2 16x to make it a perfect square trinomial?

Thus, in the given problem x2 + 16x. We have to add 82 = 64, to convert it into a perfect square. Therefore, 64 must be added to the expression to make it a perfect-square trinomial.

Is x2 12x 36 a perfect square?

x2 + 12x + 36 is called a perfect square trinomial — which is the square of a binomial.

What number should be added to the expression x2 6x to change it into a perfect square trinomial?

Answer: 9 needs to be added to x2 – 6x to make it a perfect square.

What should be added to create a perfect square trinomial x2 18x?

Add 81 to get the perfect square trinomial.

Which value must be added to the expression x2 3x to make it a perfect square trinomial?

The value that must be added to the expression x2 – 3x to make it a perfect-square trinomial is 9/4.

How do you factor x2 12x 32?

Therefore the solution to the factorisation of x2 + 12x + 32 is (x + 4)(x + 8).

What is the factor of the trinomial x2 12x 36 a perfect square trinomial?

Bill K. Since (we’re implicitly assuming) it’s a perfect square and the coefficient of the highest power is 1, it’s just a matter of guessing factorizations of the form (x+a)2 . Since we want a2=36 and 2a=12 , we want to use a=6 so the factorization is x2+12x+36=(x+6)2 .

How do we express perfect square binomial into perfect square trinomial?

Any time you take a binomial and multiply it to itself, you end up with a perfect square trinomial. For example, take the binomial (x + 2) and multiply it by itself (x + 2). The result is a perfect square trinomial.

What number should be added to the expression x2 10x to change it into a perfect square trinomial?

The constant that can be added to x2 – 10x to form a perfect square trinomial is 25.

What number should be added to x2 2x to get a perfect square?

Answer: To make the expression x2 + 2x a perfect square, we need to add 1 to it.

What value can you add in the blank in the expression x2 6x 5 __ to complete the square?

The number that should be added to both sides of the equation to complete the square (x2 – 6x = 5) is 9.

What number needs to be added to the expression x2 20x to complete the square?

Therefore, to complete the square in the quadratic expression x2−20x x 2 − 20 x , we will add (−202)2 ( − 20 2 ) 2 and the subtract it.

Is x2 18x 81 a perfect square trinomial?

x2−18x+81 is a perfect square trinomial.

Is this a perfect square trinomial x2 16x 64?

x2+16x+64=(x+8)2 is a perfect square trinomial.

What expression is equivalent to 2×2 2×7?

Answer: The expression which is equivalent to 2×2 – 2x + 7 is (x – 0.5 – √13i / 2)(x – 0.5 + √13i / 2).

What is the factored form of 125a6 64?

Rewrite 125a6 125 a 6 as (5a2)3 ( 5 a 2 ) 3 . Rewrite 64 as 43 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 – b 3 = ( a – b ) ( a 2 + a b + b 2 ) where a=5a2 a = 5 a 2 and b=4 .

IS 100 a perfect square?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.