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# When you factor using the Zero Product Rule the solutions to the simpler equations are also the solutions to the original equation?

Updated: 12/17/2022

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Q: When you factor using the Zero Product Rule the solutions to the simpler equations are also the solutions to the original equation?
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### According to the Zero Product Rule the solutions to the simpler equations are also the solutions to the original equation. A.True B.False?

The statement is true.

### When you factor using the zero product rule the solutions to the simpler equations are also the solutions to the original equation true or false?

True - otherwise there would be no point in doing it!

### What are the solutions to the equations below (4x plus 36)(8x-40)0?

Assuming you mean:(4x+36)(8x-40) = 0 then you can use the property that a product can only be zero if one of its factors is zero. In other words, you can change this to: 4x + 36 = 0 OR 8x - 40 = 0 Solve each of the individual solutions; their solutions are also solutions to the original equation.

### Can an algebraic equation have three solutions?

Yes. In fact, you can have any number of solutions you want. Here is an example of an algebraic equation with three solutions:(x - 2)(x - 5)(x + 4) = 0 The solutions are 2, 5, 4, since for each of these, one of the factors will be zero, and therefore, the product will also be zero.

### What are joint variation equations?

Joint variation equations are equations that have a variable equal to the product of two or more other variables and usually a coefficient. For example, an equation like x=2yz.

### How did you find each product of quadratic equations?

You substitute the value of the variable into the quadratic equation and evaluate the expression.

### What are the solutions to the equation below (4x plus 36)(8x-40)0?

Assuming you mean:(4x+36)(8x-40) = 0 then you can use the property that a product can only be zero if one of its factors is zero. In other words, you can change this to: 4x + 36 = 0 OR 8x - 40 = 0 Solve each of the individual solutions; their solutions are also solutions to the original equation.

3 x - 7 = -21

### What does coefficient mean when talking about chemical equations?

in equation H molecule and Iodine molecule combines to form 2HI. IN the product 2HI, 2 Is called coefficient. Not even in product reactens also has coefficient.

### How the quadratic equation is applied in real situation?

Vertices in quadratic equations can be used to determine the highest price to sell a product before losing money again.

### Why don't all rational equations have a single solution?

The number of solutions of a rational equation depends on the power (or degree) of the equation (that is, the highest power to which the variable is raised) and the domain. In the complex domain, each rational equation of power n has n solutions. It is, however, possible that two or more of these solutions are coincident - or "multiple zeros". In the real domain, the number of solutions can fall in pairs. So an equation of power 7 will always have 7 complex solutions but it can have 7, 5, 3 or 1 real solutions. (Real numbers are a subset of complex numbers). Another way of seeing this is through factorisation: The equation x3 + x2 - 10x + 8 = 0 can be factorised into (x + 1)*(x - 2)*(x - 4) = 0 Now the product of three numbers is 0 is any one of them is 0. That is, if x + 1 = 0 or if x - 2 = 0 or if x - 4 = 0 Thus the equation has the solutions: x = - 1, x = 2 or x = 4. The equation of order n can have at most n real binomial factors. (Any more and the biggest power of x would be bigger than n). And again, in the complex domain, using the binomial equation (and equivalents), it must have n binomial factors.

### What is the balanced equation for IronIII Chloride?

The formula for iron(III) chloride is FeCl3. Equations are only for chemical reactions and they show what reactant(s) form what product(s).