Question

WILL AWARD BRAINLIEST!!! POLYNOMIALS

Answer 1

$\huge\fcolorbox{blue}{aqua}{Answer:}$

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1.

$kx^{2} + kx + \frac{25}{4}$

All you need to do is factor out $\frac{1}{4}$

=$\frac{4kx^{2 +} + 4kx + 25 } {4}$

if you evaluate it it will become

$kx^{2} + kx + \frac{25}{4}$

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2.

$\frac{3y² + 1}{4} - \frac{y}{2} = 6$

$3y² + 1 - 2y = 24$

$3y² - 23 - 2y = 0$

$3y² - 2y - 23 = 0$

$y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3}$

$y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3}$

$y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3}$

$y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3}$

$y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}$

$y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}$

$y=\frac{2±2\sqrt{70}}{6}$

$y=\frac{2\sqrt{70}+2}{6}$

$y=\frac{\sqrt{70}+1}{3}$

$y=\frac{2-2\sqrt{70}}{6}$

$y=\frac{1-\sqrt{70}}{3}$

$y=\frac{\sqrt{70}+1}{3}$

So the answer is

$y=\frac{\sqrt{70}+1}{3}$

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Explanation:

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