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Choose the quadratic equation with a leading coefficient of 1 that has as solutions -4 and 7?
Wiki User
∙ 12y ago
x^2-3x-28=0...................
Wiki User
∙ 12y ago
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What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
How does changing the sign of the leading coefficient in an equation of the form y equals ax2 affect its graph?
It gets reflected in the x-axis.
What is leading coefficient?
It is the coefficient of the highest power of the variable in an expression.
What are the zeros of the quadratic equation whose leading coefficient is -1 and coefficient of x is -7 and constant term is -12?
In other words, the zeroes of -x2 - 7x - 12.First, multiply by -1: x2 + 7x + 12.The new leading coefficient is 1, so the factors take the form (x + _)(x + _), where the two blanked-out numbers add up to 7 and multiply to 12.It's easier to try factoring 12 and adding the factors:1 + 12 = 132 + 6 = 83 + 4 = 7That last one shows us that the factors are (x + 3)(x + 4), and the zeroes are -3 and -4.
What is the leading coefficient in a polynomial?
It is the number (coefficient) that belongs to the variable of the highest degree in a polynomial.
What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
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
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
What is the highest exponent of the leading variable in a quadratic equation?
the highest exponent of quadratic equation is 2 good luck on NovaNet peoples
What the highest exponent of the leading variable in a quadratic equation?
2.
Why a quadratic equation is called quadratic?
Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.
Why does quadratic equation called quadratic equation?
Quadratic equations are called quadratic because quadratus is Latin for ''square'';in the leading term the variable is squared. also...it is form of ax^2+bx+c=0
What is the leading coefficient of each fungtion?
what is the leading coefficient -3x+8
How do you find zeros when the leading coefficient is one?
The answer depends on the what the leading coefficient is of!
How does changing the sign of the leading coefficient in an equation of the form y equals ax2 affect its graph?
It gets reflected in the x-axis.
What is leading coefficient?
It is the coefficient of the highest power of the variable in an expression.
What are the zeros of the quadratic equation whose leading coefficient is -1 and coefficient of x is -7 and constant term is -12?
In other words, the zeroes of -x2 - 7x - 12.First, multiply by -1: x2 + 7x + 12.The new leading coefficient is 1, so the factors take the form (x + _)(x + _), where the two blanked-out numbers add up to 7 and multiply to 12.It's easier to try factoring 12 and adding the factors:1 + 12 = 132 + 6 = 83 + 4 = 7That last one shows us that the factors are (x + 3)(x + 4), and the zeroes are -3 and -4.
