ANSWER ASAP PLEASE HELP!!! Factor completely: (x^4-11x^2+30)(5x^3-x^2-15x+3)

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5.2 Factoring 15x2 - 11x - 14

The first term is, 15x2 its coefficient is 15 .

The middle term is, -11x its coefficient is -11 .

The last term, "the constant", is -14

Step-1 : Multiply the coefficient of the first term by the constant 15 • -14 = -210

Step-2 : Find two factors of -210 whose sum equals the coefficient of the middle term, which is -11 .

-210 + 1 = -209

-105 + 2 = -103

-70 + 3 = -67

-42 + 5 = -37

-35 + 6 = -29

-30 + 7 = -23

-21 + 10 = -11 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -21 and 10

15x2 - 21x + 10x - 14

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (5x-7)

Add up the last 2 terms, pulling out common factors :

2 • (5x-7)

Step-5 : Add up the four terms of step 4 :

(3x+2) • (5x-7)

Which is the desired factorization

step-by-step explanation:

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step-by-step explanation:

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