Factor the expression X^2 + 6x + 8
1 answer:
Answer: (x + 4)(x + 2)
Step-by-step explanation: In this problem, we're given a trinomial with an x² term, an x term, and a constant term so we can factor it as the product of two binomials.
The first term in each binomial will be a factor of x² and since x² factors as x time x, we use x as the first term in each binomial.
To fill the second position in each binomial, we use the factors of the last term that add together to equal the coefficient of the middle term.
So we're looking for factors of +8 that add to +6.
+8 factors as 8 x 1 or 4 x 2. Since 4 and 2 add together to equal +6, we put a +4 in our first binomial and a +2 in our second binomial and we have our answer (x + 4)(x + 2) which is a factored version of x² + 6x + 8.
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Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.
It says that three-fourth of the total weight is metal and says to find the weight of wooden part.
We can find the weight of metal part and then subtract it from the total weight to calculate the answer.
Total weight = 14.9 kilograms.
Metal part = three-fourth of total weight =
Wooden part = 14.9 - 11.175 = 3.725 kilograms.
Hence, the wooden part is 3.725 kilograms.