The given polynomial x^{2} - 22x + 72 and factors by multiplying.

sodni3

sodni3

Answered question

2020-11-08

The given polynomial x222x+72 and factors by multiplying.

Answer & Explanation

svartmaleJ

svartmaleJ

Skilled2020-11-09Added 92 answers

Calculation: We have a quadrratic x222x+72.
In order to factor the given quadratic we need to compare given quadratic with standard quadratic ax2+bx+c.
Now, we need to get the values of a, b and c and product sum rule to factor the quadratic.
On comparing given quadratic x222x+72 with standard quadratic
ax2+bx+c,
we get a=1,b=22,c=72.
Product of value of a and c=1×72=72.
Value of b=22.
Now, we need to get two factors of 72 those add upto -22.
We could see 72=18×(4),22=4+(18)
So, split middle term 22xinto4x18x, we get
x24x18x+72
Now, making it into two groups and factor out Greatest Common Factor (GCF) of each group (x24x)+(18x+72)
Factor out Greates Common Factor (GCF)xfrom(x24x)
and -18 from (18x+72)
x(x4)18(x4)
Factor out the common parenthesis (x4)
(x4)(x18)
Now, let us check its

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?