The values of the x that satisfies the equation 2x² + 7x +3 = 0 is -1/2 and -3 .
<h3>What is a polynomial function?</h3>
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
2x² + 7x +3 = 0
2x² + 6x + x + 3 = 0
2x (x+3) + 1(x + 3) = 0
(2x + 1)(x + 3) = 0
2x+ 1 = 0 ; x + 3 = 0
x = -1 / 2 ; x = -3
Thus, the values of the x that satisfies the equation 2x² + 7x +3 = 0 is -1/2 and -3 .
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So on the top, you split it up using the difference of squares rule.
You get (x - 6)(x + 6) on the top.
On the bottom, you can undistribute (pull out) -7x.
This gives you -7x(x-6) on the bottom.
Now you can cancel like terms in the numerator and denominator.
You can cancel the (x-6).
You can also move the negative sign from the 7x to the (x + 6)
This leaves you with -(x + 6) over 7x, or (6 - x) over 7x.
To find excluded values, all you need to know is that you can't divide by zero under any circumstances, and you can't have a zero on the top in a rational expression.
The only values for x that would make either of these statements true are if x = 0 (7 × 0 = 0 on the bottom), or if x = 6 (6 - 6 +0 on the top)
So the answer is (6 - x) over 7x, x ≠ 0, 6
Step-by-step explanation:
2(3x-5)=5x-3
6x -10 =5x -3
x=7