1.

II.Factorise the fol2(1) 24a’ + 37a - 5​

Answer»

<P>Step-by-step EXPLANATION:

Correct question :-

  • Factorise the given polynomial p(a) = 24a² + 37a - 5

To Find -

  • Zeroes of the polynomial

Solution :-

Now,

→ 24a² + 37a - 5

By middle term splitt :-

→ 24a² + 40a - 3a - 5

→ 8a(3a + 5) - 1(3a + 5)

→ (8a - 1)(3a + 5)

Zeroes are -

→ 8a - 1 = 0 and 3a + 5 = 0

→ a = 1/8 and a = -5/3

Verification :-

  • α + β = -b/a

→ -5/3 + 1/8 = -(37)/24

→ -40 + 3/24 = -37/24

→ -37/24 = -37/24

LHS = RHS

And

  • αβ = c/a

→ -5/3 × 1/8 = -5/24

→ -5/24 = -5/24

LHS = RHS

Hence,

Verified...

It shows that our answer is absolutely correct.


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