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What values of x will make the polynomial 0 if its factors are x - 2 and x - 7?
Xxboricuababexx
2 and 7.
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∙ 14y ago
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If the factors of a polynomial are x plus 2 and x plus 6 what values of x make that polynomial 0?
-2 and -6
If the factors of a polynomial are x plus 4 and x plus 8 what values of x make that polynomial 0?
-6 Check: -6+4-6+8 = 0
Are a polynomial's factors the values at which the graph of a polynomial meets the y-axis?
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
What are the roots of polynomial?
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
Why do you get 2 solutions in the quadratic equation?
This is due to the zero-product property. In principle, any polynomial equation of degree 2 can be factored as: (x - a)(x - b) = 0 Here is a specific example: (x - 5)(x + 3) = 0 Now, if the product of two factors is zero, it follows that one of the two factors is equal to zero; so the above becomes: x - 5 = 0 OR x + 3 = 0 Solving the individual parts, you get the two solutions. Of course, it is possible that the two factors happen to be the same; in this case, the polynomial is said to have a "double" root (i.e., a double solution). Similarly, a polynomial equation of degree 3 can be separated into 3 factors, a polynomial of degree 4 can be factored into 4 factors, etc.
If the factors of a polynomial are x - 2 and x - 5 what values of x make that polynomial 0?
2 or 5
If the factors of a polynomial are x-2 and x-5 what values of x make that polynomial 0?
The values that make each of the factors zero. In other words, you need to solve:x - 2 = 0 and: x - 5 = 0
If the factors of a polynomial are x - 4 and x - 5 what values of x make that polynomial 0?
4 and 5 -4 and -8
If the factors of a polynomial are x plus 2 and x plus 6 what values of x make that polynomial 0?
-2 and -6
If the factors of a polynomial are x plus 4 and x plus 8 what values of x make that polynomial 0?
-6 Check: -6+4-6+8 = 0
If the factors of a polynomial are x - 3 and x - 4 what values of x make that polynomial 0?
If either factor is zero, so is the polynomial. The first factor is zero when x = 3 and the second factor when x = 4. Thus the required values of x are 3 and 4.
If the factors of a polynomial are x plus 3 and x plus 7 what values of x make that polynomial 0?
If (x + 3)(x +7) = 0 then either: x + 3 = 0 or x + 7 = 7 Hence x = -3 or -7.
What values of x will make the polynomial 0 if its factors are x - 6 and x - 3?
If a polynomial has factors x-6 and x-3 it will equal 0 if either factor equals 0 since the other factor then would be multiplied by 0. ie. 0 * (x-6)=0 and 0 * (x-3)=0. so x=3 or 6
What are the values at which the graph of a polynomial crosses the x-axis?
The graph of a polynomial in X crosses the X-axis at x-intercepts known as the roots of the polynomial, the values of x that solve the equation.(polynomial in X) = 0 or otherwise y=0
Are a polynomial's factors the values at which the graph of a polynomial meets the y-axis?
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
What are the roots of polynomial?
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
How do you find the factors of polynomails function of degree greater than 20?
With difficulty. Plot a graph of the polynomial and see where it crosses the x axis. If it does, then y=0 at that point, and (x-a) is a factor. Sometimes you might spot where the polynomial is zero just by trying various values.
