factor: x^2 + 13x + 40

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The polynomial x^2 + 13x + 40 can be factored as follows:

x^2 + 13x + 40

=> x^2 + 8x + 5x + 40

=> x(x + 8) + 5(x + 8)

=> (x + 5)(x + 8)

The factorized form of x^2 + 13x + 40 is (x + 5)(x + 8)

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vaaruni | High School Teacher | (Level 1) Salutatorian

Posted on

Given expression -> x^2 + 13x + 40

=> x^2 + 8x + 5x + 40 [ Using middle term factorisation method : product (P)= 40x^2, sum/diff (s)= 8x + 5x = 13x,  ]

=> x(x + 8) + 5(x + 8)

=> (x +8)(x +5)

The factorized terms of x^2+13x+40 is (x + 8)(x + 5) <--Answer

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