Factorise the following expressions.
a² + 8a + 16
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EXPLANATION.
Factorizes :
⇒ a² + 8a + 16 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ a² + 4a + 4a + 16 = 0.
⇒ a(a + 4) + 4(a + 4) = 0.
⇒ (a + 4)(a + 4) = 0.
⇒ (a + 4)² = 0.
⇒ a = - 4.
MORE INFORMATION.
Conjugate roots.
D = Discriminant Or b² - 4ac.
(1) If D < 0.
One roots : α + iβ.
Other roots : α - iβ.
(2) If D > 0.
One roots : α + √β.
Other roots : α - √β.
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