What is the factored form of 8x^2 + 12x

Mathematics

2 answers:

Crazy boy [7]2 years ago

6 0

The answer is the following:

4x(2x+3)

hope it helped :)

Vaselesa [24]2 years ago

5 0

Answer: The required factored form of the given expression is $4x(2x+3).$

Step-by-step explanation: We are given to find the factored form of the following quadratic expression :

$E=8x^2+12x~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given quadratic expression does not contain the constant term, so first we should take common the x-term and then factorize.

From equation (i), we have

$E\\\\=8x^2+12x\\\\=4x(2x+3).$

Thus, the required factored form of the given expression is $4x(2x+3).$

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$\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}$

Part B

Given

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Substitute the given values into the equation for A[p(t)} found in part A:

$\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}$