what is the factored form of $6x^{2}+11x - 10$? $(2x+square)(square x-square)$
what is the factored form of $6x^{2}+11x - 10$? $(2x+square)(square x-square)$
Answer
Explanation:
Step1: Find two numbers
Find two numbers (a) and (b) such that (a\times b = 6\times(- 10)=-60) and (a + b=11). The numbers are (15) and (-4) since (15\times(-4)=-60) and (15+( - 4)=11).
Step2: Rewrite the middle term
Rewrite (6x^{2}+11x - 10) as (6x^{2}+15x-4x - 10).
Step3: Group the terms
Group the terms: ((6x^{2}+15x)-(4x + 10)).
Step4: Factor out common factors from each group
Factor out (3x) from the first group and (2) from the second group: (3x(2x + 5)-2(2x + 5)).
Step5: Factor out the common binomial factor
Factor out ((2x + 5)) to get ((2x + 5)(3x-2)).
Answer:
((2x + 5)(3x-2))