Answer:
the answer is -109
Explanation:
To factorize 4x2 + 9x - 13 completely, we will make use of splitting the middle term method. Let's start by multiplying the coefficient of the x2 term and the constant
term 4(-13) = -52. Our aim is to find two
numbers that multiply to give -52 and add up to 9. The numbers are +13 and
-4Therefore, 4x2 + 13x - 4x - 13 = ONow,
group the first two terms together and the last two terms together and factorize them out4x(x + 13/4) - 1(× + 13/4) = 0(x + 13/4)(4x - 1)
= OTherefore, the fully factorised form of 4x2 + 9x - 13 is (x + 13/4)(4x - 1).