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Factor the following polynomials solution
1. 3x3 + 3x2 + x + 1
2.6g 3 + 8g 2 - 15g - 20​


Sagot :

Answer:

1. Add and subtract the second term to the expression and factor by grouping, so the answer will be

[tex](x+1)(3x^{2} +1)[/tex]

2. Factor the polynomial, the answer is

[tex]19g-20[/tex]

Step-by-step explanation:

Answer:

1. 3x³ + 3x² + x + 1

Factor out 3x² from the expression

3x²(x+1)+x+1

Factor out x+1 from the expression

=(x+1)(3x²+1)

2. 6g³ + 8g² - 15g - 20

Factor out 2g² from the expression

2g²(3g+4)-15g-20

Factor out -5 from the expression

2g²(3g+4)-5(3g+4)

Factor out 3g+4 from the expression

=(3g+4)(2g²-5)