Factor as the product of two binomials x^2+3x+2

Mathematics

2 answers:

zhuklara [117]3 years ago

8 0

Answer:

x^2+3x+2 = (x+1)(x+2)

victus00 [196]3 years ago

7 0

Answer:

(x + 1)(x + 2)

Step-by-step explanation:

${x}^{2} + 3x + 2 \\ = {x}^{2} + 2x + x + 2 \\ = x(x + 2) + 1(x + 2) \\ = (x + 2)(x + 1)$

You might be interested in

A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan

svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.