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

sodni3 2020-11-08 Answered
The given polynomial x222x+72 and factors by multiplying.
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Expert Answer

svartmaleJ
Answered 2020-11-09 Author has 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
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