Question

Factor the given polynomial. 15x^2+7x-4

Polynomial factorization
ANSWERED
asked 2021-03-08
Factor the given polynomial.
\(\displaystyle{15}{x}^{{2}}+{7}{x}-{4}\)

Answers (1)

2021-03-09

Step 1
Let consider a quadratic polynomial
\(\displaystyle{a}{x}^{{2}}+{b}{x}+{c}\)
Steps to factorize quadratic polynomial
i) Multiply the highest degree and lowest degree coefficient i.e. a and c
ii) Add or subtract two numbers to find the coefficient b such that multiplication of these two give the multiplication from step i)
iii) write in factorization form by taking common part out from the polynomial
Step 2
Given polynomial
\(\displaystyle{15}{x}^{{2}}+{7}{x}-{4}\)
\(\displaystyle{15}{x}^{{2}}+{12}{x}-{5}{x}-{4}\ldots\ldots\ldots..{\left[{12}\cdot{\left(-{5}\right)}={15}\cdot{\left(-{4}\right)}\right]}\)
\(3x ( 5x + 4) -1 ( 5x +4 )\)
\((3x -1) ( 5x + 4)\)

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