Factor using the method indicated a) Use GCF: 9xy2+6xy b) Use sum and product: x2−3x−40...

Carol Gates

Carol Gates

Answered

2021-09-07

Factor using the method indicated
a) Use GCF: 9xy2+6xy
b) Use sum and product: x23x40
c) Use GCF, then Sum and product 4x268x+240

Answer & Explanation

Mayme

Mayme

Expert

2021-09-08Added 103 answers

a) The given expression is,
9xy2+6xy
The GCF of the two terms is 3xy.
Hence, the required factorization is 3xy(3y+2).
b) The given polynomial is,
x23x40
Let there be two numbers such that,
a+b=3
ab=40
Then,
a=8,b=5.
Thus, the given polynomial becomes,
x28x+5x40
x(x8)+5(x8)
(x8)(x+5)
Thus, the required factorization is, (x8)(x+5).
The given polynomial is,
4x268x+240
The GCF of the terms is, 4.
Hence, the required factorization using GCF method is 4(x217x+60)
Consider the polynomial,
(x217x+60)
Let a and b be two numbers such that,
a+b=17
ab=60 Hence,
a=12,b=5
Thus, the given polynomial becomes,
x212x5x+60
x(x12)5(x12)
(x12)(x5)
Thus, the required factorization is,
4(x12)(x5)

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