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Can you help me simplify this question.

Can you help me simplify this question.-example-1

2 Answers

4 votes

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).

User Deykun
by
9.2k points
5 votes
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).
User Alexey Nazarov
by
7.9k points

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