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3 years ago

How you to transform a polynomial equation in standard form? state some steps

Mathematics

1 answer:

frez [133]3 years ago

6 0

Answer:

A very common way to transform a polynomial equation in standard form is usually by writing a polynomial in its standard form.

This is mainly achieved by checking the degree of the terms involved and writing them in the order of degree which should follow the pattern of from highest to lowest, left to right.

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Step-by-step explanation:

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4 years ago

Find the x-intercept for y = 3x^2 + 6x − 10

azamat

Answer:

x-intercepts: (-3.08, 0) and (1.08, 0)

Step-by-step explanation:

Given:

The function is given as:

$y=3x^2+6x-10$

In order to find the x-intercept, we need to equate the given function to 0 as x-intercept is the point where the 'y' value is 0. So,

$y=0\\3x^2+6x-10=0$

Now, this is a quadratic equation of the form $ax^2+bx+c=0$

We find the solution using the quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here, $a=3,b=6,c=-10$

Now, the solutions are:

$x=\frac{-6\pm \sqrt{6^2-4(3)(-10)}}{2(3)}\\\\x=\frac{-6\pm \sqrt{36+120}}{6}\\\\x=\frac{-6\pm \sqrt{156}}{6}\\\\x=\frac{-6}{6}-\frac{2\sqrt{39}}{6}\ or\ x=\frac{-6}{6}+\frac{2\sqrt{39}}{6}\\\\x=-1-2.08\ or\ x=-1+2.08\\\\x=-3.08\ or\ x=1.08$

Therefore, the x-intercepts are (-3.08, 0) and (1.08, 0)

5 0

3 years ago