22) \( 7 a^{2}-11 a+4 \)
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Did you know that quadratic expressions like \( 7a^{2}-11a+4 \) can often be solved using the quadratic formula \( a = \frac{-b \pm \sqrt{b^2-4ac}}{2a} \)? Here, 'a', 'b', and 'c' correspond to the coefficients in our polynomial. So for our expression, \( a = 7 \), \( b = -11 \), and \( c = 4 \). Quick math can lead you to the roots of this beautiful equation! If you're feeling adventurous, you can also factor quadratic expressions! For \( 7a^2 - 11a + 4 \), look for two numbers that multiply to \( 7 \cdot 4 = 28 \) and add up to \(-11\). It can be tricky, but remember that quadratic equations have real-world applications like projectile motion and calculating profit margins, making mastering these equations super beneficial in everyday scenarios!
