Explain How do you find factors of the polynomial

Mathematics

1 answer:

balandron [24]2 years ago

4 0

Answer:

Step-by-step explanation:

"For a polynomial, no matter how many terms it has, always check for a greatest common factor (GCF) first. Literally, the greatest common factor is the biggest expression that will go into all of the terms. Using the GCF is like doing the distributive property backward.

If the equation is a trinomial — it has three terms — you can use the FOIL method for multiplying binomials backward.

If it’s a binomial, look for difference of squares, difference of cubes, or sum of cubes.

Finally, after the polynomial is fully factored, you can use the zero product property to solve the equation."

You might be interested in

Through: (2,5), perp. to y =- 2/3x +3

chubhunter [2.5K]

Find the equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3

<h3><u>Answer:</u></h3>

The equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3 in slope intercept form is $y = \frac{3}{2}x + 2$

<h3><u>Solution:</u></h3>

Given that line passes through (2, 5) and perpendicular to line having equation $y = \frac{-2}{3}x + 3$

Let us first find slope of original line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing the slope intercept form y = mx + c and given equation of line $y = \frac{-2}{3}x + 3$ we get

$m = \frac{-2}{3}$

Thus slope of given line is $m = \frac{-2}{3}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

Slope of given line x slope of line perpendicular to it = -1

$\begin{array}{l}{\frac{-2}{3} \times \text { slope of line perpendicular to it }=-1} \\\\ {\text { slope of line perpendicular to it }=\frac{3}{2}}\end{array}$