Topic:-Factors of an equation
what is factorization : the decomposition of an object a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into prime factors as 3 × 5, and the polynomial x2 − 4 factors as (x − 2)(x + 2). In all cases, a product of simpler objects is obtained. However, factors are not needed to divide evenly because they are still divisible by any number. For example, technically 3 and 8/3 are factors of 8. But, when factoring for tests teachers are looking for the even divisibility of the numbers.
Let's look an example on it.
Question:-
Solve x2+16x+69=6
Answer:-
x2+16x+69=6
x2+16x+69-6=0
x2+16x+63=0
For factoring it ,we find two factors of 63
which add up to 16,they are 9 and 7
x2+9x+7x+69=6
Pair these terms
x(x+9)+7(x+9)=0
(x+9)(x+7)=0
x+9=0 0r x+7=0
x= -9 or x= -7
So x= -9 or -7 is the answer.
For more help on this ,you can reply me.
what is factorization : the decomposition of an object a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into prime factors as 3 × 5, and the polynomial x2 − 4 factors as (x − 2)(x + 2). In all cases, a product of simpler objects is obtained. However, factors are not needed to divide evenly because they are still divisible by any number. For example, technically 3 and 8/3 are factors of 8. But, when factoring for tests teachers are looking for the even divisibility of the numbers.
Let's look an example on it.
Question:-
Solve x2+16x+69=6
Answer:-
x2+16x+69=6
x2+16x+69-6=0
x2+16x+63=0
For factoring it ,we find two factors of 63
which add up to 16,they are 9 and 7
x2+9x+7x+69=6
Pair these terms
x(x+9)+7(x+9)=0
(x+9)(x+7)=0
x+9=0 0r x+7=0
x= -9 or x= -7
So x= -9 or -7 is the answer.
For more help on this ,you can reply me.
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