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How do you complete the square to make a binomial a perfect-square trinomial?

The binomial usually has an x2 term and an x term, so we complete the square by adding a constant term. If the coefficient of x2 is not 1, we divide the binomial by that coefficient first (we can multiply the trinomial by it later). Then we divide the coefficient of x by 2 and square that. That is the constant that we need to add to get the perfect square trinomial. Then just multiply that trinomial by the original coefficient of x2.


Choose the quadratic equation with a leading coefficient of 1 that has as solutions -2 plus 3 square root 5 and -2 -3 square root 5?

x2 + 4x = 41


What is type a polynomial with integer coefficients and a leading coefficient of 1 in the box below?

A polynomial with integer coefficients and a leading coefficient of 1 is called a monic polynomial. An example of such a polynomial is ( f(x) = x^3 - 4x^2 + 6x - 2 ). In this polynomial, all coefficients are integers, and the leading term ( x^3 ) has a coefficient of 1.


What is the coefficient and the exponent of the square root of 3b?

The coefficient is the number placed before a variable, or variables. As for the exponent: taking the square root of a number is the same as raising it to the power 1/2, so you can consider the exponent to be 1/2. Edit: So coefficient is ./3 and exponent is 1/2


How do you complete the square x squared plus 12x plus?

36.1. You take the coefficient of x : = 122. Halve it : = 63. Then square it : = 364. Add it.This gives x2 + 12x + 36 = (x + 6)2The above method only works if the coefficient of x2 is 1. If it is not then the processs is slightly more complicated.


In factoring a trinomial with a leading coefficient other than 1 what is the first step?

find a greatest common factor or GCFin factoring a trinomial with a leading coefficient other than 1 the first step is to look for a COMMON factor in each term


How do you complete the square of the math problem x2 plus 2x equals 19?

X^2 + 2X = 19 divide the linear coefficient ( 2X; the 2 ) in half, square and add to both sides. X^2 + 2X + 1 = 19 + 1 You see the perfect square on the left side? ( X + 1 )^2 = 20 ( X + 1 )^2 - 20 = 0


When you are factoring a trinomial with a leading coefficient other than 1 which would be the best thing to do first?

When factoring a trinomial with a leading coefficient other than 1, the best first step is to look for two numbers that multiply to the product of the leading coefficient and the constant term while also adding up to the middle coefficient. This method is often referred to as the "AC method." Once these numbers are found, you can rewrite the middle term as a sum of two terms and then factor by grouping.


What is the number in front of the term with the highest degree in a polynomial?

It is the Coefficient. It only refers to the given term that it is front. e.g. 2x^2 - 3x + 1 The '2' in front of 'x^2' only refers to 'x^2'. The '-3' in front of 'x' is the coefficient of '-3' The '1' is a constant.


What number completes the square of x2 plus 14x equals -7?

Since the first coefficient is already equal to 1, just take half the second coefficient (half of 14), then square the result. This must be the constant term on the left side.


Choose the quadratic equation with a leading coefficient of 1 that has as solutions -4 and 7?

x^2-3x-28=0...................


When you are factoring a trinomial with a leading coefficient other than 1 what is the first step?

find all the factors of the constant term