Simplification Or Other Simple Results - Tiger Algebra

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results (2x2−3x+5)⋅(x2+4x−1) (2x^2-3x+5)*(x^2+4x-1)

Other Ways to Solve

Simplification or other simple results

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

((2x2 - 3x) + 5) • (x2 + 4x - 1)

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2-3x+5 The first term is, 2x2 its coefficient is 2 .The middle term is, -3x its coefficient is -3 .The last term, "the constant", is +5 Step-1 : Multiply the coefficient of the first term by the constant 2 • 5 = 10 Step-2 : Find two factors of 10 whose sum equals the coefficient of the middle term, which is -3 .

-10	+	-1	=	-11
-5	+	-2	=	-7
-2	+	-5	=	-7
-1	+	-10	=	-11
1	+	10	=	11
2	+	5	=	7
5	+	2	=	7
10	+	1	=	11

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored

Trying to factor by splitting the middle term

2.2 Factoring x2+4x-1 The first term is, x2 its coefficient is 1 .The middle term is, +4x its coefficient is 4 .The last term, "the constant", is -1 Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1 Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 4 .

-1

+

1

=

0

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored

Final result :

(2x2 - 3x + 5) • (x2 + 4x - 1)

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