What should be subtracted to the polynomial x2-16 x-30- so that 15 is the zero of the resulting polynomial-a 30b 14c 15d 16

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Standard X

Mathematics

Factor Theorem

What should b...

Question

What should be subtracted to the polynomial x² − 16x + 30, so that 15 is the zero of the resulting polynomial?

(a) 30
(b) 14
(c) 15
(d) 16

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Solution

We know that, if, is zero of a polynomial then is a factor of

Since 15 is zero of the polynomial f (x) = x²− 16x + 30, therefore (x − 15) is a factor of f (x)

Now, we divide by we get

Thus we should subtract the remainder from,

Hence, the correct choice is.

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What should be subtracted to the polynomial x2 − 16x + 30, so that 15 is the zero of the resulting polynomial? (a) 30 (b) 14 (c) 15 (d) 16

We know that, if, is zero of a polynomial then is a factor of Since 15 is zero of the polynomial f (x) = x2 − 16x + 30, therefore (x − 15) is a factor of f (x) Now, we divide by we get Thus we should subtract the remainder from, Hence, the correct choice is.

What should be subtracted to the polynomial x² − 16x + 30, so that 15 is the zero of the resulting polynomial?

(a) 30
(b) 14
(c) 15
(d) 16

We know that, if, is zero of a polynomial then is a factor of

Since 15 is zero of the polynomial f (x) = x²− 16x + 30, therefore (x − 15) is a factor of f (x)

Now, we divide by we get

Thus we should subtract the remainder from,

Hence, the correct choice is.