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Not sure what you mean by "zero element". If an expression is equal to zero, and you can factor it, then at least one of the factors must be zero; this is often useful to solve an equation.

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โˆ™ 2016-06-21 13:31:31
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How do you solve the equation by using the zero element?
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How do you find for the zero of a linear function?

If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".

How do you solve x squared minus ten x plus six equals zero?

It can be solved by using the quadratic equation formula.

How do you find the x and y-intercepts without using a graph?

-- Take the equation. -- Say to yourself, "At the x-intercept, y=0". Set 'y' equal to zero, solve the equation for 'x', and you have the x-intercept. -- Take the original equation again. -- Say to yourself, "At the y-intercept, x=0". Set 'x' equal to zero, solve the equation for 'y', and you have the y-intercept.

How do you find the y-intercept of the graph of the equation?

Set 'x' equal to zero, and solve the remaining equation for 'y'.

Why cant the zero product property be used to solve every quadratic equation?

If the discriminant of a quadratic equation is less than zero then it will not have any real roots.

How do you solve 3x squared plus 2x minus 16 is zero?

-- Factor the left side of the equation. -- Set one factor equal to zero, and solve it for 'x'. That gives you one solution to the equation. -- Set the other factor to zero, and solve it for 'x'. That gives you the other solution to the equation. -- If you don't get x=2 and x=-8/3 then repeat the previous steps, because you made a mistake the first time.

Why the multipicative inverse of zero does not exist?

To find the multiplicative inverse, you would have to solve the equation 0 times x = 1. Since any number times 0 is zero, this equation has no solution.

What does quadratic equations using the factoring method means?

It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.

How do you find the x intercept on a linear equation?

At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.

What must be true about a quadratic equation before solve it?

That depends how you plan to solve it - there are several methods. But usually you would start by arranging the equation in "standard form", meaning that on the right of the equal sign, you only have zero.

Can you solve 3x2-x equals -1?

Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.

How does factoring help solve quadratic equations?

Well, that's one method to solve the quadratic equation. Here is an example (using the symbol "^" for power): solve x^2 - 5x + 6 = 0 Step 1: Convert the equation to a form in which the right side is equal to zero. (Already done in this example.) Step 2: Factor the left side. In this case, (x - 3) (x - 2) = 0 Step 3: Use the fact that if a product is zero, at least one of its factors must be zero. This lets you convert the equation to two equations; x - 3 = 0 OR x - 2 = 0 Step 4: Solve each of the two equations.

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