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How do you complete the square when the leading coefficient is not 1?
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∙ 11y ago
Wiki User
∙ 11y ago
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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
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
What is the feasible range for r the correlation coefficient?
the correlation coefficient range is -1 to +1
What is the coefficient of k in -k?
-k = -1*k, so the coefficient is minus 1
What are the terms of an equation?
For an expression/equation such as this example, -12x^4-8x^2-7, the terms would be as follows: Term 1: -12x^4 Term 2: -8x^2 Term 3: -7 This particular equation has 3 terms, 3 coefficients, but only 1 leading coefficient. These are as follows also: Coefficient 1: -12 Coefficient 2: -8 Coefficient 3: -7 And the last one: Leading Coefficient: -12 Generally the answers are written in descending order according to their exponential power above the variable, which in this case is "x". This means the greater the power of "x", the sooner it will be written down. X^4 is first, x^2 is next, and x^0 is last. Note: x^0 always equals 1.
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
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
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.
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.
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
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
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.
What is numerical range of regression coefficient?
ɪf the regresion coefficient is the coefficient of determination, then it's range is between 0 or 1. ɪf the regression coefficient is the correaltion coefficient (which i think it is) the it must lie between -1 or 1.
How do you complete the square in math?
Suppose you have a quadratic expression of the form ax^2 + px + q, where a, p and q are constants. Also, a is non-zero because otherwise you do not have a quadratic!The first step is to divide through by a to give x^2 + (p/a)*x + (q/a)To avoid too many fractions, lets us write b = p/a and c = q/a so that the expression becomesx^2 + bx + c (you will often get it given in this form ie with the coefficient of x^2 being 1).To complete the square you need the square of half the coefficient of x.The coefficient of x is b, so half the coefficient of x is b/2 and sothe square of half the coefficient of x is (b^2)/4.x^2 + bx + c => x^2 + bx = - cNow add (b^2)/4 to both sides to give x^2 + bx (b^2)/4= (b^2)/4 - cwhich simplifies to (x + b/2)^2 = 1/4*(b^2 - 4ac)and the square is completed on the left hand side.
