Question

one of the factors of (5x 2   + 70x – 160) is (x – 2). Find the other factor.

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Answer 1

Answer: we have to verify with zero

So x-2=0

Step-by-step explanation:

Answer 2

Given,

The polynomial: 5x²+70x-160

One of its factors is (x-2).

To find,

The second factor of the given polynomial.

Solution,

The second factor of 5x²+70x-160 will be (x+16).

According to the question,

p(x) = 5x²+70x-160

5x²+70x-160 = 0

Taking 5 as common,

5(x²+14x-32) = 0

(x²+14x-32) = 0

Factorising it by splitting the middle term such that their subtraction will give 14x and multiplication will give 32x²:

x²+16x-2x-32 = 0

Taking x common from the first two terms and -2 from the last two terms:

x(x+16)-2(x+16) = 0

(x+16)(x-2) = 0

(x-2) is given as one of the factors.

Hence, the second factor of 5x²+70x-160 is (x+16).