# Factor each polynomial 3x^{2}-10x+8

Factor each polynomial
$3{x}^{2}-10x+8$
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Step 1
Factor means to find two or more values whose products equal the original value. factorization is a simplifying algebraic expression by extracting a common factor. a polynomial is an expression in algebra that consists of two or more terms. polynomial equation an equation f(x)=0 where, f(x) is a polynomial.
Quadratic equation degree is 2 if factoring the quadratic equation find the two numbers that add up to middle number and multiply together to get the last term and split the middle term by that two numbers and take out the common factor in first and last terms and equate the product to zero.
Step 2
To factor the polynomial $3{x}^{2}-10x+8$ product the coefficient of the first term and the last constant term. that is 24 find out the two numbers which multiply together to get 24 and add up to get -10 those numbers are -6 and -4 split the middle term by -6 and -4. in the first term take out the common factor 3x and in the last term take out the common factor -4 and take the common factor (x-2).
$3{x}^{2}-10x+8=0$
$3{x}^{2}-6x-4x+8=0$
3x(x-2)-4(x-2)=0
(x-2)(3x-4)=0
The factors are (x-2)(3x-4)